The equation to solve is csc(2x)=k. This can be transformed into:
csc(2x)=1sin(2x)⇒sin(2x)=1k
Cosecant (csc) is the reciprocal of the sine function.
Sine (sin) is a trigonometric function of an angle.
To solve csc(2x)=k, we first find the angle for which sin(2x)=1k.
The general solutions are:
Thus, x can be found by dividing each solution by 2.