Trigonometry, Unit Circle Pythagorean Identity - Cos/Sin to Identity (Radians, Typical Notation)

This math topic encompasses problems on Trigonometry and the Unit Circle, specifically focusing on the Pythagorean Identity involving sine and cosine functions in radians. The questions task students with applying the identity to find relationships involving dimensions of triangles on the unit circle. Each problem presents a scenario requiring the use of the identity \( \sin^2(\theta) + \cos^2(\theta) = 1 \) to derive or verify expressions relating the sine and cosine values at specific angles, measured in radians. The skills practiced include understanding identities, manipulating algebraic expressions with trigonometric functions, and problem-solving using the unit circle.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.