Rearrange terms.

Apply pythagorean identity.

Rewrite in terms of sines and cosines.

Apply the product rule to .

One to any power is one.

Apply pythagorean identity.

Cancel the common factor.

Rewrite the expression.

Simplify (1+tan(x)^2)(1-sin(x)^2)

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# Simplify (1+tan(x)^2)(1-sin(x)^2)

Rearrange terms.

Apply pythagorean identity.

Rewrite in terms of sines and cosines.

Apply the product rule to .

One to any power is one.

Apply pythagorean identity.

Cancel the common factor.

Rewrite the expression.

Simplify (1+tan(x)^2)(1-sin(x)^2)