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Back to Extend trigonometric functions using unit circle — Problem 1 · Task Set 66

Exercises: Extend Trigonometric Functions Using the Unit Circle

Show all steps for each problem. Leave answers involving square roots in exact form (e.g., $\frac{\sqrt{2}}{2}$) unless otherwise stated.

Grade 9·21 problems·~30 min·Common Core Math - HS Functions·group·hsf-tf-a-2
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Fluency Practice

Evaluate each expression using the unit circle. Give exact values.

Unit circle showing point P at (sqrt(3)/2, 1/2) in the first quadrant, with x-coordinate labeled cos(theta) and y-coordinate labeled sin(theta).
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The terminal side of angle θ\theta in standard position intersects the unit circle at the point (32, 12)\left(\frac{\sqrt{3}}{2},\, \frac{1}{2}\right). What is sin⁡(θ)\sin(\theta)?