Reduce cos 1102∘

Question

to the sine of an acute angle

sin ....∘

Answer 1

To reduce cos 1102° to the sine of an acute angle, we need to remember that cos x = sin(90° - x).

Therefore, cos 1102° = sin(90° - 1102°)
= sin(-1012°)

Since the reference angle should be positive, we add 360° to -1012° to get a positive acute angle:

-1012° + 360° = -652°

Therefore, cos 1102° = sin(-652°)
= sin 652°

So, cos 1102° can be reduced to sin 652°, where 652° is an acute angle.