Question

The value of sin (2 sin^–1 (.6)) is ______.

Options

• .48

• .96

• 1.2

• sin 1.2

Answer 1

The value of sin (2 sin^–1 (.6)) is .96.

Explanation:

Let sin^–1 (.6) = θ

i.e., sin θ = .6

Now sin (2θ) = 2

sinθ cosθ = 2 (.6) (.8)

= .96