Question

1. Suppose that cos B = 0.68. What is the value of sin(a)? Explain.

Answer 1

The value of Sin(a) suppose that Cos B = 0.68 in which case, a + B = 90° is; 0.68.

Trigonometry

First, when we have two angles, whose sum equals, 90°.

In essence, Since the algebraic sum of angles A and B is 90°;

• A + B = 90.

• B = 90 -A.

By trigonometric identity;

• Sin A = Cos (90 - A)

Where; (90 - A) = B.

Therefore; Sin A = Cos B = 0.68.

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