I know this problem is very easy, I am just having so much trouble grasping the concept. I have to verify this problem and don't know where to start.
Any help GREATLY appreciated. Homework due at 3PM today.
We know that $\displaystyle \sec t=\frac{1}{\cos t}$, $\displaystyle \csc t=\frac{1}{\sin t}$ and $\displaystyle \cos^2 t + \sin^2 t =1$ so starting with the LHS:
LHS$\displaystyle =\frac{\sec t}{\cos t}-\frac{\sec^2 t}{\csc^2 t}=\frac{\frac{1}{\cos t}}{\cos t}-\frac{\frac{1}{\cos^2 t}}{\frac{1}{\sin^2 t}}=\frac{1}{\cos^2 t}-\frac{\sin^2 t}{\cos^2 t} =\frac{1-\sin^2 t}{\cos^2 t}=\frac{\cos^2 t}{\cos^2 t}=1=$RHS