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$1 + \tan^2(x)$

$\tan(x) + \cot(x)$

$\sin(x) - \sin(x)\cos^2(x)$

$2\sin(x)\cos(x)$

$\frac{1 - \sin(x)}{\cos(x)}$

$\cos(x)\left(\sec(x) - 1\right)$

$\tan(x) \cdot \cot(x)$

$1 + \cot^2(x)$

$\sin(x) \div \csc(x)$

$\sin^2(x) + \cos^2(x)$

$\csc(x) - \sin(x)$

$\cos^2(x) - \sin^2(x)$

$\sin^2(x) - \cos^2(x)$

$\sec^2(x) - \tan^2(x)$