Rearrange terms.

Apply pythagorean identity.

Rewrite as .

Rewrite as .

Rewrite in terms of sines and cosines.

Multiply by the reciprocal of the fraction to divide by .

Multiply by .

Simplify 1/(cot(x)^2+1)

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# Simplify 1/(cot(x)^2+1)

Rearrange terms.

Apply pythagorean identity.

Rewrite as .

Rewrite as .

Rewrite in terms of sines and cosines.

Multiply by the reciprocal of the fraction to divide by .

Multiply by .

Simplify 1/(cot(x)^2+1)