Question

Use the fact that sin 38 ≈ 0.6157 to solve m.

cos m ≈ 0.6157

what is the value of m?

Answer 1

sin and cos are equal when their sum is 90°

So

• cosm=0.6125=sin38
• cos(90-38)=sin38
• cos52=sin38
• m=52°

Answer 2

• 52°

Explanation:

We know that sine and cosine are equal when angles are complementary.

• sin 38° = cos m
• sin 38° = cos (90° - 38°) = cos 52°
• cos m = cos 52°
• m = 52°