In Exercises 1–6, use the figures to find the exact value of each trigonometric function.
sin 2α

Given $\tan\theta=\frac{5}{12}$ and 0 < $\theta$ < $\frac{\pi}{2}$, find $\cos\left(2\theta\right)$.

Find values of the sine and cosine functions for each angle measure.

2x, given tan x = 5/3  and sin x < 0

Match each expression in Column I with its value in Column II.

10. cos 67.5°

Find values of the sine and cosine functions for each angle measure.

2θ, given cos θ = (√3)/5  and sin θ > 0

Use a half-angle identity to find each exact value.

sin 195°