General Solution of $$\cosec x=a$$

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General Solution of $$\cosec x=a$$

## Formula

If:

$$\cosec x=a$$

then:

$$x=n\pi+(-1)^n\cosec^{-1}a,\quad |a|\ge1,\quad n\in\mathbb Z$$

## Usage

- Used to obtain the complete solution of a cosecant equation.

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