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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.