Question

write sin 33° in terms of cosine

Answer 1

Cos 57 it has to add up to 90

Answer 2

Answer:  $\sin 33^\circ=\cos 57^\circ.$

Step-by-step explanation:  We are given to write sin 33° in terms of cosine.

We know that

The sine of any acute angle is equal to the cosine of its complement.

Now, the complement of an acute angle with measurement 33° is given by

$90^\circ-33^\circ=57^\circ.$

Therefore, the sine of an angle with measurement 33° is equal to the cosine of an angle with measurement 57°.

Thus, we can write as follows :

$\sin 33^\circ=\cos 57^\circ.$

Hence, $\sin 33^\circ=\cos 57^\circ.$