__Category__: Trigonometry"Published in Suisun City, California, USA"

Solve for the value of x for

__Solution__:

Consider the given equation above

Rewrite secant, tangent, and cotangent into its equivalent function as follows

Divide both sides of the equation by sin x, we have

but

and the above equation becomes

Take the 4th root at both sides of the equation

Consider the positive value

Take the inverse tangent at both sides of the equation

Consider the negative value

Take the inverse tangent at both sides of the equation

Therefore, the final answers are

where n is the number of revolutions.