Question

Based on the figure, which of the following equations is also true?

с
A sin 38°
17
17
B cos 38°
с
17
cos 52°
с
с
D tan 52°
17

Answer 1

The correct answer is B.

Explanation:

Because you know two of the angles in a triangle are 90° and 52°, you can infer that the third angle is 38°. There is a trigonometry rule that states the sine of an angle is equivalent to the cosine of 90° minus that angle, which you can apply to here. Since
`Sin(52`°
`)` =
`(17)/(c)`, you know that
`Cos(90`°
`-52`°
`)` or
`Cos(38`°
`)`also equals
`(17)/(c)`, so choice B is the correct answer.