Question

Recall that a point on the unit circle represents (cos(θ, sin(θ)) for an angle in standard position. If θ = 60°, then for what other value of θ is cos(θ) = 12? Give the smallest positive angle measure. θ = ⇒ 300 degrees For angles between 0° and 60°, the cosine value is X less thanequal to✔ greater than ½.

Answer 1

Small correction: you meant cos(θ) = 1/2. The other angle in [0°,360°) with cos θ = 1/2 is 300° (since cos(300°)=cos(360°−60°)=cos 60°=1/2).

For angles between 0° and 60° the cosine decreases from 1 (at 0°) to 1/2 (at 60°), so the cosine value is greater than 1/2.