If sin(a) = 23. What is the value of cos(b) if a + b = 90 degrees?

Complementary angles are those angles that add up to 90 degrees. The two non-right angles in a right triangle are complementary to each other.

Answer: If sin(a) = 23, then cos(b) is also 23.

Let's understand the how of the question.

Explanation:

Since a + b = 90 degrees, we can say b = (90 - a) degrees.

Hence, we have to calculate cos(90 - a).

We know that cos(90 - a) = sin(a), as it is a common trigonometric identity.

Hence, we get sin(a) = cos(b) = 23

Hence, If sin(a) = 23, then cos(b) is also 23.