Question

Write sin 33° in terms of cosine

Answer 1

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.`