Cosine equals to the adjacent divided by the hypotenuse, and sine equals to the opposite divided by the hypotenuse. Think of this: soh, cah, and toa. soh means sine = opposite/hypotenuse, cah means cosine = adjacent/hypotenuse, and toa means tangent = opposite/adjacent.
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The length of the opposite side is equal to sine theta. And same exact logic. The cosine of theta is equal to adjacent over hypotenuse, is equal to adjacent over hypotenuse. And so that's... since the hypotenuse is equal to one, it's just the length of the adjacent side, so cosine of theta is the length of the adjacent side.
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1:21 Sine deals with opposite and hypotenuse. 1:23 Cosine deals with adjacent and hypotenuse. 1:26 Tangent deals with opposite over adjacent. 1:31 So we can say that the tangent of 65 degrees, 1:38 of that angle of 65 degrees, is equal to the opposite, 1:42 the length of the opposite side, which; 1:44 we know has length a over the length of the ...
Sine of an angle is opposite over hypotenuse, cosine of an angle is adjacent over hypotenuse. So cosine, let's write this down, cosine of 30 degrees is going to be equal to the length of the adjacent side.