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Question

Question
Which trigonometric function has the same value as sin 38°?

(1 point)
Responses

cos 38°
cos 38°

cos 52°
cos 52°

sin 52°
sin 52°

tan 38°

Answer 1

To find which trigonometric function has the same value as \( \sin 38^\circ \), we can use the co-function identity. The identity states that:

\[ \sin(\theta) = \cos(90^\circ - \theta) \]

For \( \theta = 38^\circ \):

\[ \sin 38^\circ = \cos(90^\circ - 38^\circ) = \cos 52^\circ \]

Therefore, the trigonometric function that has the same value as \( \sin 38^\circ \) is:

cos 52°.