Csc(2x) Calculator

Solve for \( x \) in \( \csc(2x) = k \)

Formula

The equation to solve is \( \csc(2x) = k \). This can be transformed into:

\[ \csc(2x) = \frac{1}{\sin(2x)} \Rightarrow \sin(2x) = \frac{1}{k} \]

Definitions

Cosecant (\( \csc \)) is the reciprocal of the sine function.

Sine (\( \sin \)) is a trigonometric function of an angle.

Example Calculation

To solve \( \csc(2x) = k \), we first find the angle for which \( \sin(2x) = \frac{1}{k} \).

The general solutions are:

Thus, \( x \) can be found by dividing each solution by 2.