Question

In the figure above, sin 52° = 17/c.Based on the figure above, which of the following equations is also true? A. sin 38° = c/17B. cos 38° = 17/cC. cos 52° = 17/cD. tan 52° = c/17

Answer 1

Answer:

B. cos 38° = 17/c

Explanation:

In the right triangle:

$\sin 52\degree=\frac{17}{c}$

The complementary angle to 52 degrees = 38 degrees.

$\begin{gathered} \cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}} \\ \cos 38\degree=\frac{17}{c} \end{gathered}$

Therefore, option B is correct.