Given cos⁡ x=−11/61, and π<x<3π/2, what is tan⁡(x−π)?

Question

Given cos⁡ x=−11/61, and π<x<3π/2, what is tan⁡(x−π) given in radical form?

Answer 1

The tangent function is periodic with period π, so tan(x-π) is equal to tan(x). So just find tan(x) and you are done.