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Practice: Unit-circle trigonometry

Guidance: Check: graph a unit circle in radian mode and inspect (cos(theta), sin(theta)).

The terminal side of an angle \(\theta\) in standard position intersects the unit circle at \(\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)\). What is \(\sin \theta\)?

GEO-14

Unit-circle trigonometry

Desmos: Check: graph a unit circle in radian mode and inspect (cos(theta), sin(theta)).

View an example question

The terminal side of an angle \(\theta\) in standard position intersects the unit circle at \(\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)\). What is \(\sin \theta\)?

A. \(\frac{1}{2}\)

B. \(\frac{\sqrt{3}}{2}\)

C. \(-\frac{1}{2}\)

D. \(-\frac{\sqrt{3}}{2}\)

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