30Jul/1025
The unit circle definition of trigonometric function
Using the unit circle to extend the SOH CAH TOA definition of the basic trigonometric functions.
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March 19th, 2010 - 02:55
i feel retarded for not understanding this earlier
March 19th, 2010 - 20:44
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April 6th, 2010 - 07:24
which video should i watch where u explain the 30, 60, 90 triangles?
April 7th, 2010 - 04:25
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May 22nd, 2010 - 03:29
@dilpreet28 Check the his series on geometry. There should be an intro video to 30-60-90 triangles there.
June 7th, 2010 - 22:48
@nriab23 10 months?!? Are your retarted?
June 18th, 2010 - 16:03
hey, the hypotenuse is 2, but you said, 1. that is wrong, because sin is y/r so 1/2.
June 21st, 2010 - 20:42
my teacher can teach an entire chapter in 5 min no lie!!!!!11
July 13th, 2010 - 21:57
Wow bravo Sal on this video. I actually understand why the Trigonometric functions work now.
July 17th, 2010 - 13:19
in which grade do you learn this in the US?
July 19th, 2010 - 08:11
@and1dima probably in the 10th or 11th
July 20th, 2010 - 21:52
Thanks. You can also notice that the numeratores (tops of the fractions) always contain pi, and the denominators (or bottoms of the fractions) are always 3, 4, 6 if you work your way from the center line of the unit circle to the outside. In quadrant 1 (the upper right quadrant) the numerators are always just PI. in Quadrant 2 (the upper left quadrant) the number mulitplied by PI is always one less then the number in the denominator. More in next comment
July 20th, 2010 - 22:10
In Quadrant 3 (lower left) the numerators are always 1 more that the number in their dinominator, and in Quadrant 4 I use a little memory trick for the numbers in the numerator. I say “Take 5 at 7 11.” As in take a rest at your local convienience store, but of course from the center line to the right these are the numerator numbers.
July 22nd, 2010 - 02:38
How was the square root of 3 over 2 chosen as X for a 60deg angle instead of the actual x coord of 0.865?
July 23rd, 2010 - 23:33
define radiussss?
July 25th, 2010 - 01:26
@Shakespeare1612
You are a genius. Thank you so much for pointing that out. I have always hated the unit circle, and now I will master it, thanks to you.
July 29th, 2010 - 07:23
@chucklachance well 2 radius is the diameter of the circle, a radius is just a line going to the center of a circle, so if a radius is 3, then the diameter is 6 get it? its basic i just think you need to refresh on the facts
July 29th, 2010 - 07:52
@Shakespeare1612 hello im not sure if its you who i should ask, but judging from your comments you know what your talking about, ok in 9:08 Sal got √3/2 for his adjacent side, how did he get this, this is the only part of the whole video i didnt get
July 29th, 2010 - 15:41
@LuisRC91 In this video he just takes this value from his “previous work with 30 60 90″ right triangle” so I suggest that you go back through his previous videos on trigonometry, but you can also explore this idea on your own by starting with an equilateral triang. that has three sides, 1 unit each. Cut it in half and then use the Pythagorean Theorem, to turn the side measures into algebra. If you then use your algebra to solve to the lengh of that side, you will find that it is srt(3) / 2.