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

B. cos 38° = 17/c

Step-by-step explanation:

In the right triangle:

`\sin 52\degree=(17)/(c)`

The complementary angle to 52 degrees = 38 degrees.

`\begin{gathered} \cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}} \\ \cos 38\degree=(17)/(c) \end{gathered}`

Therefore, option B is correct.