Inverse Tangent of a Sine Expression

Inverse Tangent of a Sine Expression

## Formula

If:

$$x\in\left[-\frac\pi2,\frac\pi2\right]$$

then:

$$\tan^{-1}(\sin x)$$

is evaluated by first considering:

$$\sin x=\frac{\tan x}{\sqrt{1+\tan^2x}}$$

## Usage

- Used to transform inverse tangent expressions involving sine by introducing a suitable right-triangle relation.