Question

Suppose that sin A = 0.622. What is the value of cos A?

Answer 1

0.783

Explanation:

We know that,

sin^2 (x) + cos^2 (x) = 1

Thus,

`\sin^(2) (A) + cos^(2) (A) = 1 \\ cos^(2) A =1 - sin^(2) A \\ cos^(2) A = 1 - (0.622)^(2 ) \\ cos^(2) A = 1 - 0.386884 \\ cos A = √(0.613116) \\ = 0.783`