[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.86,0:00:05.37,Default,,0000,0000,0000,,buses to attack on a more examples of so we\Nmake sure that we're getting district functioned
Dialogue: 0,0:00:05.37,0:00:07.02,Default,,0000,0000,0000,,being down well
Dialogue: 0,0:00:07.02,0:00:11.11,Default,,0000,0000,0000,,thoughts construct ourselves uh... some or\Nwrite triangles
Dialogue: 0,0:00:11.11,0:00:15.30,Default,,0000,0000,0000,,let's construct ourselves some right right\Nas i want to be very clear the way up to find
Dialogue: 0,0:00:15.30,0:00:19.83,Default,,0000,0000,0000,,it so far this all the work in right triangle\Nso if you try to find
Dialogue: 0,0:00:19.83,0:00:20.58,Default,,0000,0000,0000,,treat
Dialogue: 0,0:00:20.58,0:00:25.19,Default,,0000,0000,0000,,functions of angles that are part of right\Nrebels were to see a realtor construct right
Dialogue: 0,0:00:25.19,0:00:28.08,Default,,0000,0000,0000,,rankles delicious focus on the right triangles\Nfor now
Dialogue: 0,0:00:28.08,0:00:33.47,Default,,0000,0000,0000,,so let's say that i have a triangle where\Nlet's say this lengthy down here is seven
Dialogue: 0,0:00:33.47,0:00:39.19,Default,,0000,0000,0000,,and let's say the length of the decide appear\Nlet's say that that is four
Dialogue: 0,0:00:39.19,0:00:43.17,Default,,0000,0000,0000,,let's figure out what the hyde park new silver\Nhere is going to be so we know
Dialogue: 0,0:00:43.17,0:00:45.35,Default,,0000,0000,0000,,please call the high partners
Dialogue: 0,0:00:45.35,0:00:52.35,Default,,0000,0000,0000,,we know that age squared is going to be equal\Nto seven squared plus four squared we know
Dialogue: 0,0:00:52.45,0:00:55.11,Default,,0000,0000,0000,,that from of the protagonist a room
Dialogue: 0,0:00:55.11,0:00:57.19,Default,,0000,0000,0000,,that the hype on this where it is equal to
Dialogue: 0,0:00:57.19,0:01:00.29,Default,,0000,0000,0000,,the square of each of the the some of the\Nsquares
Dialogue: 0,0:01:00.29,0:01:04.37,Default,,0000,0000,0000,,of the other two sides eight square zero seven\Nsquared plus four squared
Dialogue: 0,0:01:04.37,0:01:08.67,Default,,0000,0000,0000,,so this is the equal to forty-nine
Dialogue: 0,0:01:08.67,0:01:09.73,Default,,0000,0000,0000,,sixteen
Dialogue: 0,0:01:09.73,0:01:11.74,Default,,0000,0000,0000,,wordy nine plus sixteen
Dialogue: 0,0:01:11.74,0:01:17.22,Default,,0000,0000,0000,,c forty nine plus ten is fifty-nine plus the\Nsix is
Dialogue: 0,0:01:17.22,0:01:21.98,Default,,0000,0000,0000,,sixty-five it is a sixty five so this age\Nsquared
Dialogue: 0,0:01:21.98,0:01:23.91,Default,,0000,0000,0000,,right each squared
Dialogue: 0,0:01:23.91,0:01:28.31,Default,,0000,0000,0000,,it's different shade of p{\u1}l{\u0}o_'s with eight\Nsquared is equal to
Dialogue: 0,0:01:28.31,0:01:32.48,Default,,0000,0000,0000,,sixty-five into that right forty nine point\Nstatus fifty nine plus another six
Dialogue: 0,0:01:32.48,0:01:36.54,Default,,0000,0000,0000,,is the sixty-five or we could see that age\Nis equal to three take the square root of
Dialogue: 0,0:01:36.54,0:01:38.12,Default,,0000,0000,0000,,both sides
Dialogue: 0,0:01:38.12,0:01:39.34,Default,,0000,0000,0000,,square root
Dialogue: 0,0:01:39.34,0:01:42.85,Default,,0000,0000,0000,,square root of sixty five and really can simplify\Nthis at all
Dialogue: 0,0:01:42.85,0:01:44.35,Default,,0000,0000,0000,,this is thirteen
Dialogue: 0,0:01:44.35,0:01:48.71,Default,,0000,0000,0000,,this is the same thing is thirteen times five\Nboth of those are not perfect squares and
Dialogue: 0,0:01:48.71,0:01:49.62,Default,,0000,0000,0000,,they're both
Dialogue: 0,0:01:49.62,0:01:51.86,Default,,0000,0000,0000,,prior to ten simplifydigital
Dialogue: 0,0:01:51.86,0:01:55.75,Default,,0000,0000,0000,,so this is equal to the square root of sixty-five
Dialogue: 0,0:01:55.75,0:01:57.71,Default,,0000,0000,0000,,ellis five the trade
Dialogue: 0,0:01:57.71,0:02:04.71,Default,,0000,0000,0000,,let's find the trick functions for this angle\Nappear let's call that angle up there
Dialogue: 0,0:02:05.06,0:02:06.27,Default,,0000,0000,0000,,so whatever you do it
Dialogue: 0,0:02:06.27,0:02:09.68,Default,,0000,0000,0000,,you always want to write out at least for\Nme it works out to write down
Dialogue: 0,0:02:09.68,0:02:11.22,Default,,0000,0000,0000,,soul cut off
Dialogue: 0,0:02:11.22,0:02:12.83,Default,,0000,0000,0000,,so
Dialogue: 0,0:02:12.83,0:02:16.43,Default,,0000,0000,0000,,so karto i have these big memories
Dialogue: 0,0:02:16.43,0:02:17.92,Default,,0000,0000,0000,,of my
Dialogue: 0,0:02:17.92,0:02:21.03,Default,,0000,0000,0000,,trigonometry teacher will be a rated in some\Nbook i don't know who you know some about
Dialogue: 0,0:02:21.03,0:02:25.16,Default,,0000,0000,0000,,some type of indian princess named so cut\Nor whatever but it's a very useful
Dialogue: 0,0:02:25.16,0:02:28.08,Default,,0000,0000,0000,,new monica so we can apply so for those fine
Dialogue: 0,0:02:28.08,0:02:34.10,Default,,0000,0000,0000,,let's say we want to find and uh... co-signed\Nwe want to find the co-signed of our angle
Dialogue: 0,0:02:34.10,0:02:37.78,Default,,0000,0000,0000,,we wanna find the close i never angle you\Nsay so cut off
Dialogue: 0,0:02:37.78,0:02:41.22,Default,,0000,0000,0000,,so the cop cod tells us what to do with cosign
Dialogue: 0,0:02:41.22,0:02:43.07,Default,,0000,0000,0000,,the cop part tells us
Dialogue: 0,0:02:43.07,0:02:46.93,Default,,0000,0000,0000,,that co-sign isn't jason over had gotten is
Dialogue: 0,0:02:46.93,0:02:49.98,Default,,0000,0000,0000,,co-sign is equal to and jay sent
Dialogue: 0,0:02:49.98,0:02:51.53,Default,,0000,0000,0000,,over-hyped ought to do is
Dialogue: 0,0:02:51.53,0:02:55.91,Default,,0000,0000,0000,,so it's over here look over here to tell you\Nknow what side is ed jason
Dialogue: 0,0:02:55.91,0:02:57.76,Default,,0000,0000,0000,,well we know that the high partners
Dialogue: 0,0:02:57.76,0:03:00.64,Default,,0000,0000,0000,,we know that i produce is this side over here
Dialogue: 0,0:03:00.64,0:03:04.58,Default,,0000,0000,0000,,so it can't be that side they are all the\Nother side that's kind of adjacent to it that
Dialogue: 0,0:03:04.58,0:03:06.95,Default,,0000,0000,0000,,given dot blot miss is this for
Dialogue: 0,0:03:06.95,0:03:10.48,Default,,0000,0000,0000,,so the adjacent side over here that side is
Dialogue: 0,0:03:10.48,0:03:14.15,Default,,0000,0000,0000,,three right next to the angle it's one of\Nthe size of kind of forms the angle
Dialogue: 0,0:03:14.15,0:03:15.27,Default,,0000,0000,0000,,it's for
Dialogue: 0,0:03:15.27,0:03:16.67,Default,,0000,0000,0000,,over the hard part news
Dialogue: 0,0:03:16.67,0:03:21.93,Default,,0000,0000,0000,,by partners we are do you know is square root\Nof sixty-five cents for
Dialogue: 0,0:03:21.93,0:03:22.47,Default,,0000,0000,0000,,over
Dialogue: 0,0:03:22.47,0:03:25.13,Default,,0000,0000,0000,,the square root uh... sixty-five
Dialogue: 0,0:03:25.13,0:03:29.46,Default,,0000,0000,0000,,and sometimes people want you to rationalize\Nthe denominator which means they don't like
Dialogue: 0,0:03:29.46,0:03:34.05,Default,,0000,0000,0000,,to have an irrational number in denominator\Nlike this where the sixty five
Dialogue: 0,0:03:34.05,0:03:37.56,Default,,0000,0000,0000,,and if they if you wanna rewrite this without\Nthe
Dialogue: 0,0:03:37.56,0:03:41.18,Default,,0000,0000,0000,,irrational number in the nominate or you can\Nmultiply the numerator and the denominator
Dialogue: 0,0:03:41.18,0:03:43.05,Default,,0000,0000,0000,,by squares sixty-five
Dialogue: 0,0:03:43.05,0:03:47.41,Default,,0000,0000,0000,,this clearly will not change the number cover\Nmultiplying it by something over its elsewhere
Dialogue: 0,0:03:47.41,0:03:51.28,Default,,0000,0000,0000,,multiplying the number by one that won't change\Nthe number but at least in gets rid of the
Dialogue: 0,0:03:51.28,0:03:54.54,Default,,0000,0000,0000,,irrational number that i meters of the numerator\Nbecomes
Dialogue: 0,0:03:54.54,0:03:57.75,Default,,0000,0000,0000,,four times of the square root of sixty-five
Dialogue: 0,0:03:57.75,0:04:03.28,Default,,0000,0000,0000,,and denominator square two sixty five times\Nsquare to sixty-five is just going to be sixty-five
Dialogue: 0,0:04:03.28,0:04:07.13,Default,,0000,0000,0000,,we did get rid of the rational number is still\Nthere but is now in the numerator
Dialogue: 0,0:04:07.13,0:04:09.63,Default,,0000,0000,0000,,now let's do the other trick functions
Dialogue: 0,0:04:09.63,0:04:13.22,Default,,0000,0000,0000,,carelessly said the court rick functions will\Nlearn in the future that there's a few tumble
Dialogue: 0,0:04:13.22,0:04:15.25,Default,,0000,0000,0000,,but they're all derived from these
Dialogue: 0,0:04:15.25,0:04:19.89,Default,,0000,0000,0000,,fussing about the sign of state is once again\Nto go to so cut off
Dialogue: 0,0:04:19.89,0:04:25.65,Default,,0000,0000,0000,,the sole tells what to do it signed side of\Nthe opposite over high positives
Dialogue: 0,0:04:25.65,0:04:26.30,Default,,0000,0000,0000,,sign
Dialogue: 0,0:04:26.30,0:04:27.63,Default,,0000,0000,0000,,is equal to
Dialogue: 0,0:04:27.63,0:04:31.51,Default,,0000,0000,0000,,opposite over hypothesize opposite over high\Npartners
Dialogue: 0,0:04:31.51,0:04:34.04,Default,,0000,0000,0000,,so for this and all tried as officer
Dialogue: 0,0:04:34.04,0:04:35.13,Default,,0000,0000,0000,,we just go
Dialogue: 0,0:04:35.13,0:04:38.93,Default,,0000,0000,0000,,opposite itworld opens into it's opposite\Nthe seven
Dialogue: 0,0:04:38.93,0:04:41.91,Default,,0000,0000,0000,,so the opposite side is the seven this is
Dialogue: 0,0:04:41.91,0:04:44.35,Default,,0000,0000,0000,,right here that is the opposite side
Dialogue: 0,0:04:44.35,0:04:45.71,Default,,0000,0000,0000,,and then in the
Dialogue: 0,0:04:45.71,0:04:51.04,Default,,0000,0000,0000,,hypothalamus opposite overabundance of hypothesis\Nin the square root of sixty-five
Dialogue: 0,0:04:51.04,0:04:52.76,Default,,0000,0000,0000,,square root sixty-five
Dialogue: 0,0:04:52.76,0:04:57.99,Default,,0000,0000,0000,,and once again if we want to rationalize this\Nweek a multiply times square in sixty five
Dialogue: 0,0:04:57.99,0:05:00.47,Default,,0000,0000,0000,,over the square to sixty-five
Dialogue: 0,0:05:00.47,0:05:06.50,Default,,0000,0000,0000,,numerator will get seven square roots of sixty-five\Nand in the denominator we will get jest
Dialogue: 0,0:05:06.50,0:05:08.09,Default,,0000,0000,0000,,sixty-five again
Dialogue: 0,0:05:08.09,0:05:10.22,Default,,0000,0000,0000,,knowledge do tangent
Dialogue: 0,0:05:10.22,0:05:12.48,Default,,0000,0000,0000,,let us do ten gente
Dialogue: 0,0:05:12.48,0:05:15.69,Default,,0000,0000,0000,,so if i ask you the tangent
Dialogue: 0,0:05:15.69,0:05:17.33,Default,,0000,0000,0000,,but ended up there
Dialogue: 0,0:05:17.33,0:05:19.98,Default,,0000,0000,0000,,once again go back to soak up
Dialogue: 0,0:05:19.98,0:05:23.12,Default,,0000,0000,0000,,toa the toll apart tells us what to do a tangent
Dialogue: 0,0:05:23.12,0:05:24.55,Default,,0000,0000,0000,,it tells us
Dialogue: 0,0:05:24.55,0:05:27.32,Default,,0000,0000,0000,,it tells us that tangent
Dialogue: 0,0:05:27.32,0:05:31.99,Default,,0000,0000,0000,,is equal to opposite over adjacent is equal\Nto opposite
Dialogue: 0,0:05:31.99,0:05:33.38,Default,,0000,0000,0000,,over
Dialogue: 0,0:05:33.38,0:05:35.64,Default,,0000,0000,0000,,opposite over ed to use it
Dialogue: 0,0:05:35.64,0:05:36.97,Default,,0000,0000,0000,,so for this and all
Dialogue: 0,0:05:36.97,0:05:41.38,Default,,0000,0000,0000,,what is opposite we've already figured it\Nout it's evident opens into the seventh opposite
Dialogue: 0,0:05:41.38,0:05:42.55,Default,,0000,0000,0000,,the seven
Dialogue: 0,0:05:42.55,0:05:44.41,Default,,0000,0000,0000,,so it's seven
Dialogue: 0,0:05:44.41,0:05:46.09,Default,,0000,0000,0000,,over website is adjacent
Dialogue: 0,0:05:46.09,0:05:48.01,Default,,0000,0000,0000,,well this for is adjacent
Dialogue: 0,0:05:48.01,0:05:51.04,Default,,0000,0000,0000,,this for is adjacent to the jason side is\Nfour
Dialogue: 0,0:05:51.04,0:05:52.64,Default,,0000,0000,0000,,so it's seven
Dialogue: 0,0:05:52.64,0:05:54.05,Default,,0000,0000,0000,,over
Dialogue: 0,0:05:54.05,0:05:54.95,Default,,0000,0000,0000,,and were dot
Dialogue: 0,0:05:54.95,0:05:59.35,Default,,0000,0000,0000,,we figured out all of the trade ratios for\Nbaidoa let's do it other one
Dialogue: 0,0:05:59.35,0:06:03.13,Default,,0000,0000,0000,,let's do another one on the colluded concrete\N'cause right now we've been saying oh was
Dialogue: 0,0:06:03.13,0:06:06.88,Default,,0000,0000,0000,,tentative actress tens of their lives make\Na little bit more concrete
Dialogue: 0,0:06:06.88,0:06:08.31,Default,,0000,0000,0000,,let's say
Dialogue: 0,0:06:08.31,0:06:11.06,Default,,0000,0000,0000,,let's say i mean drawn other right triangle
Dialogue: 0,0:06:11.06,0:06:13.100,Default,,0000,0000,0000,,list another right triangle here
Dialogue: 0,0:06:13.100,0:06:15.25,Default,,0000,0000,0000,,everything we're dealing with
Dialogue: 0,0:06:15.25,0:06:18.11,Default,,0000,0000,0000,,these are going to be right triangles
Dialogue: 0,0:06:18.11,0:06:19.65,Default,,0000,0000,0000,,let's say the high partners
Dialogue: 0,0:06:19.65,0:06:21.92,Default,,0000,0000,0000,,has the length
Dialogue: 0,0:06:21.92,0:06:24.44,Default,,0000,0000,0000,,let's say that the side over here
Dialogue: 0,0:06:24.44,0:06:26.47,Default,,0000,0000,0000,,has length too
Dialogue: 0,0:06:26.47,0:06:31.83,Default,,0000,0000,0000,,and let's say that this length overhears will\Nbe to times the square root of three we can
Dialogue: 0,0:06:31.83,0:06:33.56,Default,,0000,0000,0000,,verify that this works
Dialogue: 0,0:06:33.56,0:06:38.28,Default,,0000,0000,0000,,if you have this aside squared so yet let\Nme write down two times the square root of
Dialogue: 0,0:06:38.28,0:06:40.04,Default,,0000,0000,0000,,three squared
Dialogue: 0,0:06:40.04,0:06:42.93,Default,,0000,0000,0000,,plus to squared is equal to what
Dialogue: 0,0:06:42.93,0:06:43.89,Default,,0000,0000,0000,,this is
Dialogue: 0,0:06:43.89,0:06:47.12,Default,,0000,0000,0000,,to there's going to be four times three
Dialogue: 0,0:06:47.12,0:06:49.55,Default,,0000,0000,0000,,four times three plus four
Dialogue: 0,0:06:49.55,0:06:54.62,Default,,0000,0000,0000,,and this is going to be equal to twelve plus\Nfor the for the sixteen and sixteen is indeed
Dialogue: 0,0:06:54.62,0:06:57.73,Default,,0000,0000,0000,,four square so this does he call for squared
Dialogue: 0,0:06:57.73,0:07:02.42,Default,,0000,0000,0000,,it does equal foursquare it satisfies the\Nprotagonist hero
Dialogue: 0,0:07:02.42,0:07:06.53,Default,,0000,0000,0000,,if you remember some of your work from thirty\Nsixty ninety triangles that you might have
Dialogue: 0,0:07:06.53,0:07:09.05,Default,,0000,0000,0000,,learned in geometry you might recognize that\Nthis
Dialogue: 0,0:07:09.05,0:07:13.03,Default,,0000,0000,0000,,is eight thirty sixty ninety triangle this\Nright here is our right angle i should have
Dialogue: 0,0:07:13.03,0:07:16.22,Default,,0000,0000,0000,,drawn it from the get go to show that this\Nis the right triangle
Dialogue: 0,0:07:16.22,0:07:20.21,Default,,0000,0000,0000,,this angle right over here is our thirty degree\Nangle
Dialogue: 0,0:07:20.21,0:07:24.43,Default,,0000,0000,0000,,and then disable appear the single appears\Nis
Dialogue: 0,0:07:24.43,0:07:26.02,Default,,0000,0000,0000,,sixty degree angle
Dialogue: 0,0:07:26.02,0:07:28.14,Default,,0000,0000,0000,,and it's a pretty sixteen ninety because
Dialogue: 0,0:07:28.14,0:07:31.99,Default,,0000,0000,0000,,the side opposite the thirty degrees is half\Nof my partners
Dialogue: 0,0:07:31.99,0:07:36.65,Default,,0000,0000,0000,,and in the side opposite the sixty degrees\Nis a square to three times the other side
Dialogue: 0,0:07:36.65,0:07:38.28,Default,,0000,0000,0000,,that's not the hype on this
Dialogue: 0,0:07:38.28,0:07:41.91,Default,,0000,0000,0000,,so that's that we're not gonna the student\Nwas peer review of thirty sixty ninety triangles
Dialogue: 0,0:07:41.91,0:07:43.11,Default,,0000,0000,0000,,although i just get it
Dialogue: 0,0:07:43.11,0:07:46.83,Default,,0000,0000,0000,,let's actually fifi and the trigger issues\Nfor the different angles
Dialogue: 0,0:07:46.83,0:07:48.08,Default,,0000,0000,0000,,so if i were to ask you
Dialogue: 0,0:07:48.08,0:07:51.06,Default,,0000,0000,0000,,or if anyone would ask you what is
Dialogue: 0,0:07:51.06,0:07:54.39,Default,,0000,0000,0000,,what is the signed of thirty degrees
Dialogue: 0,0:07:54.39,0:07:58.52,Default,,0000,0000,0000,,and remember thirty degrees is one of the\Neagles in this triangle but it would apply
Dialogue: 0,0:07:58.52,0:08:01.52,Default,,0000,0000,0000,,whenever you have a thirty degree angle and\Nyou're dealing with the right rangel will
Dialogue: 0,0:08:01.52,0:08:04.97,Default,,0000,0000,0000,,have broader definitions of the future but\Nif you see a sign of thirty degrees
Dialogue: 0,0:08:04.97,0:08:10.10,Default,,0000,0000,0000,,hey this ain't gold right over here is thirty\Ndegrees so i can use this right triangle
Dialogue: 0,0:08:10.10,0:08:12.85,Default,,0000,0000,0000,,and we should remember so catawba
Dialogue: 0,0:08:12.85,0:08:14.44,Default,,0000,0000,0000,,rewrite it so
Dialogue: 0,0:08:14.44,0:08:15.95,Default,,0000,0000,0000,,ka
Dialogue: 0,0:08:15.95,0:08:17.27,Default,,0000,0000,0000,,toa
Dialogue: 0,0:08:17.27,0:08:22.16,Default,,0000,0000,0000,,sign tells us more also tells us what to do\Nit signed side is opposite over hype rotten
Dialogue: 0,0:08:22.16,0:08:23.05,Default,,0000,0000,0000,,is
Dialogue: 0,0:08:23.05,0:08:26.20,Default,,0000,0000,0000,,sign up thirty degrees is the opposite side
Dialogue: 0,0:08:26.20,0:08:29.28,Default,,0000,0000,0000,,that is the opposite side which is to
Dialogue: 0,0:08:29.28,0:08:32.15,Default,,0000,0000,0000,,over the hard part is the hype on this year's\Nfor
Dialogue: 0,0:08:32.15,0:08:35.80,Default,,0000,0000,0000,,it is to ford's which is the same thing as\None-half
Dialogue: 0,0:08:35.80,0:08:39.02,Default,,0000,0000,0000,,five thirty degrees you'll see is always going\Nto be equal
Dialogue: 0,0:08:39.02,0:08:40.76,Default,,0000,0000,0000,,to one-half
Dialogue: 0,0:08:40.76,0:08:42.19,Default,,0000,0000,0000,,now what is
Dialogue: 0,0:08:42.19,0:08:43.91,Default,,0000,0000,0000,,the duck cosign
Dialogue: 0,0:08:43.91,0:08:45.98,Default,,0000,0000,0000,,what is the co-signed of
Dialogue: 0,0:08:45.98,0:08:47.16,Default,,0000,0000,0000,,thirty degrees
Dialogue: 0,0:08:47.16,0:08:49.97,Default,,0000,0000,0000,,once again go back to seoul cut off
Dialogue: 0,0:08:49.97,0:08:56.07,Default,,0000,0000,0000,,the cod tells us what to do with co-sign co-sign\Nisn't jay sent over high popped in his
Dialogue: 0,0:08:56.07,0:08:59.94,Default,,0000,0000,0000,,so for looking at the thirty degree angle\Nit's the end jason this right over here is
Dialogue: 0,0:08:59.94,0:09:01.64,Default,,0000,0000,0000,,adjacent it's right next to it
Dialogue: 0,0:09:01.64,0:09:02.96,Default,,0000,0000,0000,,it's not my pot news
Dialogue: 0,0:09:02.96,0:09:06.79,Default,,0000,0000,0000,,it's the adjacent over the high positive so\Nit's too
Dialogue: 0,0:09:06.79,0:09:08.78,Default,,0000,0000,0000,,square roots of three
Dialogue: 0,0:09:08.78,0:09:10.32,Default,,0000,0000,0000,,and jay sent
Dialogue: 0,0:09:10.32,0:09:11.30,Default,,0000,0000,0000,,over
Dialogue: 0,0:09:11.30,0:09:13.82,Default,,0000,0000,0000,,over that partners over four
Dialogue: 0,0:09:13.82,0:09:19.29,Default,,0000,0000,0000,,or if we simplify that we divide the new renowned\Nabide to this the square root of three
Dialogue: 0,0:09:19.29,0:09:20.78,Default,,0000,0000,0000,,over too
Dialogue: 0,0:09:20.78,0:09:23.20,Default,,0000,0000,0000,,finally let's do that ended
Dialogue: 0,0:09:23.20,0:09:25.88,Default,,0000,0000,0000,,that tangent
Dialogue: 0,0:09:25.88,0:09:27.85,Default,,0000,0000,0000,,thirty degrees
Dialogue: 0,0:09:27.85,0:09:29.18,Default,,0000,0000,0000,,we go back to soak up
Dialogue: 0,0:09:29.18,0:09:30.08,Default,,0000,0000,0000,,draw
Dialogue: 0,0:09:30.08,0:09:34.90,Default,,0000,0000,0000,,so cut off poet tells us what to do it entered\Nit's opposite over adjacent
Dialogue: 0,0:09:34.90,0:09:38.86,Default,,0000,0000,0000,,you go to the thirty degree angle to the so\Nwe care about ten to twelve thirty
Dialogue: 0,0:09:38.86,0:09:42.76,Default,,0000,0000,0000,,tended of thirty opposite is too
Dialogue: 0,0:09:42.76,0:09:47.15,Default,,0000,0000,0000,,opposite is to and the adjacent is to squirts\Nof three it's right next to it it's adjacent
Dialogue: 0,0:09:47.15,0:09:47.83,Default,,0000,0000,0000,,to it
Dialogue: 0,0:09:47.83,0:09:49.43,Default,,0000,0000,0000,,and jason means next to
Dialogue: 0,0:09:49.43,0:09:51.72,Default,,0000,0000,0000,,so to square roots of three
Dialogue: 0,0:09:51.72,0:09:53.11,Default,,0000,0000,0000,,so this is equal to
Dialogue: 0,0:09:53.11,0:09:56.82,Default,,0000,0000,0000,,the tunes cancel out one over the square root\Nof three
Dialogue: 0,0:09:56.82,0:10:00.34,Default,,0000,0000,0000,,oregon multiplied the numerator denominator\Nby the square three
Dialogue: 0,0:10:00.34,0:10:01.74,Default,,0000,0000,0000,,so we have
Dialogue: 0,0:10:01.74,0:10:03.29,Default,,0000,0000,0000,,square root of three
Dialogue: 0,0:10:03.29,0:10:05.20,Default,,0000,0000,0000,,over square root of three
Dialogue: 0,0:10:05.20,0:10:09.60,Default,,0000,0000,0000,,and so this is going to be equal to the numerator\Nsquare the story and then the denominator
Dialogue: 0,0:10:09.60,0:10:14.90,Default,,0000,0000,0000,,right overhear is just going to be three so\Nthats we've rationalize a square two three
Dialogue: 0,0:10:14.90,0:10:15.89,Default,,0000,0000,0000,,over three
Dialogue: 0,0:10:15.89,0:10:16.72,Default,,0000,0000,0000,,fair enough
Dialogue: 0,0:10:16.72,0:10:20.50,Default,,0000,0000,0000,,welch is the same triangle figure out the\Ntree gracias for the sixty degrees
Dialogue: 0,0:10:20.50,0:10:23.20,Default,,0000,0000,0000,,century we've already brought it
Dialogue: 0,0:10:23.20,0:10:24.89,Default,,0000,0000,0000,,so what is
Dialogue: 0,0:10:24.89,0:10:30.58,Default,,0000,0000,0000,,what is in the sign of the sixty degrees and\Ninterval for getting the hang of it now
Dialogue: 0,0:10:30.58,0:10:35.48,Default,,0000,0000,0000,,side is opposite over js insult from the sock\Nit all out for the sixty degree angle website
Dialogue: 0,0:10:35.48,0:10:36.76,Default,,0000,0000,0000,,is opposite
Dialogue: 0,0:10:36.76,0:10:42.92,Default,,0000,0000,0000,,what opens out into the two squares of three\Nso the opposite side is two squares history
Dialogue: 0,0:10:42.92,0:10:47.88,Default,,0000,0000,0000,,from the sixty degree angle d{\u1}j{\u0} course ties\Nobserver had taught me a story confuse you
Dialogue: 0,0:10:47.88,0:10:54.42,Default,,0000,0000,0000,,so it's opposite over high pot and his sister\Nsquirts of three over four force a high partners
Dialogue: 0,0:10:54.42,0:10:58.75,Default,,0000,0000,0000,,so it is in equal to the simplifies to square\Nroot of three
Dialogue: 0,0:10:58.75,0:11:00.00,Default,,0000,0000,0000,,over too
Dialogue: 0,0:11:00.00,0:11:03.14,Default,,0000,0000,0000,,what is the the co-sign a sixty degrees
Dialogue: 0,0:11:03.14,0:11:05.58,Default,,0000,0000,0000,,co-sign of sixty degrees
Dialogue: 0,0:11:05.58,0:11:10.33,Default,,0000,0000,0000,,so remember so cut off co-sign is adjacent\Nover my pot news
Dialogue: 0,0:11:10.33,0:11:15.07,Default,,0000,0000,0000,,it jason's is the two sides right next to\Nsixty degree angle so it's too
Dialogue: 0,0:11:15.07,0:11:17.92,Default,,0000,0000,0000,,over the hype on news which is four
Dialogue: 0,0:11:17.92,0:11:19.90,Default,,0000,0000,0000,,so this is equal to
Dialogue: 0,0:11:19.90,0:11:20.86,Default,,0000,0000,0000,,one-half
Dialogue: 0,0:11:20.86,0:11:22.12,Default,,0000,0000,0000,,and then finally
Dialogue: 0,0:11:22.12,0:11:24.46,Default,,0000,0000,0000,,what is a bit engine
Dialogue: 0,0:11:24.46,0:11:26.00,Default,,0000,0000,0000,,what is the tangent
Dialogue: 0,0:11:26.00,0:11:27.83,Default,,0000,0000,0000,,of sixty degrees
Dialogue: 0,0:11:27.83,0:11:32.79,Default,,0000,0000,0000,,well tended so cut toa attended is opposite\Nover adjacent
Dialogue: 0,0:11:32.79,0:11:34.22,Default,,0000,0000,0000,,opposite the sixty degrees
Dialogue: 0,0:11:34.22,0:11:36.13,Default,,0000,0000,0000,,is to squirts of three
Dialogue: 0,0:11:36.13,0:11:37.94,Default,,0000,0000,0000,,to squirts of three
Dialogue: 0,0:11:37.94,0:11:39.57,Default,,0000,0000,0000,,and adjacent to that
Dialogue: 0,0:11:39.57,0:11:43.02,Default,,0000,0000,0000,,in j sent to that
Dialogue: 0,0:11:43.02,0:11:45.47,Default,,0000,0000,0000,,adjacent to sixty degrees is too so it's
Dialogue: 0,0:11:45.47,0:11:48.75,Default,,0000,0000,0000,,opposite over it isn't too squirts of three\Nover too
Dialogue: 0,0:11:48.75,0:11:52.63,Default,,0000,0000,0000,,which is just equal to the square read of
Dialogue: 0,0:11:52.63,0:11:56.00,Default,,0000,0000,0000,,and i just wanted you look at these are related\Nto sign a third agrees is the same things
Dialogue: 0,0:11:56.00,0:11:58.15,Default,,0000,0000,0000,,of course i love sixty degrees
Dialogue: 0,0:11:58.15,0:12:01.75,Default,,0000,0000,0000,,because i'm a third agrees with the same thing\Nas a sign of sixty degrees and that these
Dialogue: 0,0:12:01.75,0:12:04.98,Default,,0000,0000,0000,,guys are the inverse of each other i think\Nif you think of a little bit about the strike
Dialogue: 0,0:12:04.98,0:12:05.44,Default,,0000,0000,0000,,both
Dialogue: 0,0:12:05.44,0:12:09.52,Default,,0000,0000,0000,,will start to make sense why will keep extending\Nthis may be a lot more practice in the next
Dialogue: 0,0:12:09.52,0:12:10.11,Default,,0000,0000,0000,,few videos