How can I simplify (1/cos2θ) - (1/cot2θ) using trigonometric identities?

[Burjam]

Homework Statement

Simplify the following:

(1/cos²θ) - (1/cot²θ)

Homework Equations

Various trig identities

The Attempt at a Solution

I tried to make cos²θ into 1-sin²θ and cot²θ into csc²θ-1 but still couldn't find any obvious solution. Help?

 

[micromass]

What do you get if you express cot as something using sines and cosines?? What if you then add up the fractions?

 

[Millennial]

Did you try simply inverting both fractions? Does that show similarity to a trigonometric identity that you know?