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, \(\sin 33^\circ=\cos 57^\circ.\)
