Trigonometry, Unit Circle Dimensions as Sin/Cos and Solved Ratio of Angle Radians

Level 1

This math topic focuses on applying trigonometric functions—specifically sine and cosine—to calculate dimensions of points on the unit circle at various angles measured in radians. The exercises require identifying whether sine or cosine should be used to find the X or Y coordinates based on angle measures such as π/4, π/6, 7π/6, 11π/6, 4π/3, and 3π/4. Each problem is about determining which trigonometric function correctly corresponds to a given angle's sine or cosine value, reinforcing knowledge of the unit circle and angle measures in radians.

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

more

Trigonometry, Unit Circle Dimensions as Sin/Cos and Solved Ratio of Angle Radians


What calculation gives the X dimension for the unit circle point at π/6 radians?

(?)

?