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Mathematics

Algebra

Trigonometry in Algebra

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

$1$

$1 + \tan^2(x)$

$\sec^2(x)$

$\cos(x - y)$

$\cos(x)\cos(y) + \sin(x)\sin(y)$

$\tan(x + y)$

$\frac{\tan(x) + \tan(y)}{1 - \tan(x)\tan(y)}$

$\tan(x - y)$

$\frac{\tan(x) - \tan(y)}{1 + \tan(x)\tan(y)}$

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

$-\cos(2x)$

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

$\sin(2x)$

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

$\cos(2x)$

$1 - 2\sin^2(x)$

$\cos(2x)$

$2\cos^2(x) - 1$

$\cos(2x)$

$\frac{1 - \tan(x)}{1 + \tan(x)}$

$\tan(\frac{\pi}{4} - x)$

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

$\sec(x)$

$\cot^2(x) + 1$

$\csc^2(x)$

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

$1$

$\sin(-x)$

$-\sin(x)$

$\cos(-x)$

$\cos(x)$

$\tan(-x)$

$-\tan(x)$

$\sin(x + y)$

$\sin(x)\cos(y) + \cos(x)\sin(y)$

$\sin(x - y)$

$\sin(x)\cos(y) - \cos(x)\sin(y)$

$\cos(x + y)$

$\cos(x)\cos(y) - \sin(x)\sin(y)$

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