write sin 33° in terms of cosine
Mathematics
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Question
write sin 33° in terms of cosine
2 Answer

1. User Answers johndames
Cos 57 it has to add up to 90 
2. User Answers ColinJacobus
Answer: [tex]\sin 33^\circ=\cos 57^\circ.[/tex]
Stepbystep 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
[tex]90^\circ33^\circ=57^\circ.[/tex]
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 :
[tex]\sin 33^\circ=\cos 57^\circ.[/tex]
Hence, [tex]\sin 33^\circ=\cos 57^\circ.[/tex]