Finding the period of an object moving in horizontal circle

[fontseeker]

Homework Statement

A small mass m is suspended from a string of length L. The body revolves in a horizontal circle of radius R with a constant speed v. Find the speed of the body and the period of the revolution.

Homework Equations

ΣFx = Tx = mV^2/r
Period = (2πr)/V

The Attempt at a Solution

However, I was told that the velocity is actually √(g*L*Cos(θ)) / tan(θ). Why is my answer incorrect?

 

[NFuller]

However, I was told that the velocity is actually √(g*L*Cos(θ)) / tan(θ). Why is my answer incorrect?

Your answer looks correct. If $\text{tan}(\theta)$ is inside the square root, which I assume it should be, then the given answer is identical to yours.

 

[fontseeker]

Your answer looks correct. If $\text{tan}(\theta)$ is inside the square root, which I assume it should be, then the given answer is identical to yours.

Could you please explain how the answer is identical?

 

[CWatters]

Tan = sin/cos