Trigonometric identities basics
The Pythagorean identity, sin^2(theta) + cos^2(theta) = 1, holds for every angle theta: if sin(theta) = 3/5, then cos^2(theta) = 1 - 9/25 = 16/25, so cos(theta) = 4/5 in the first quadrant. It lets you find sine, cosine, or tangent from just one of the three plus which quadrant the angle is in.
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