Prove the given trigonometric functions.

Prove the given trigonometric functions.
You don't prove a function. Do you mean, prove that this is an identity? Is there some condition, such as that A, B, and C are the angles in a triangle?

In addition to stating the entire problem as given to you, please tell us what you have learned that might apply here, and what you have tried:
 
start by multiplying left side by [imath]\dfrac{\sin^2{C}}{\sin^2{C}}[/imath]

then use the identity [imath]\sec^2{\theta} = 1 + \tan^2{\theta}[/imath]
 
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