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HSF-TF.C.8

Prove the Pythagorean identity $\sin^2(\theta) + \cos^2(\theta) = 1$ and use it to find $\sin(\theta)$, $\cos(\theta)$, or $\tan(\theta)$ given $\sin(\theta)$, $\cos(\theta)$, or $\tan(\theta)$ and the quadrant of the angle.

Tasks

Trigonometric Ratios and the Pythagorean Theorem
Finding Trig Values
Calculations with sine and cosine