Question

Given that sin0°=cos90°
, sin30°=cos60°
, sin45°=cos45°
, and sin90°=cos0°
, what is sin60°
equal to?(1 point)
Responses

sin60°=cos15°
sine 60 degrees is equal to cosine 15 degrees

sin60°=cos30°
sine 60 degrees is equal to cosine 30 degrees

sin60°=cos20°
sine 60 degrees is equal to cosine 20 degrees

sin60°=cos60°

Answer 1

To find the value of \( \sin 60^\circ \), we can use the fact that \( \sin \theta = \cos(90^\circ - \theta) \).

For \( \theta = 60^\circ \):
\[
\sin 60^\circ = \cos(90^\circ - 60^\circ) = \cos 30^\circ
\]

Therefore, the correct response would be:
\[
\sin 60^\circ = \cos 30^\circ
\]

So the answer is: **sine 60 degrees is equal to cosine 30 degrees.**