Double-angle formulas

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Double angle formulas:

$\sin {(2x)}=2\sin {x}\cos {x}$

$\cos {(2x)}=\cos ^{2}{x}-\sin ^{2}{x}$

\;\;\;\;\;\;\;\;\;\;\;\;\;=2\cos ^{2}{x}-1

\;\;\;\;\;\;\;\;\;\;\;\;\;=1-2\sin ^{2}{x}

$\tan {(2x)}={\frac {2\tan {x}}{1-\tan ^{2}{x}}}$

Resources

Double-angle formulas. Written notes created by Professor Esparza, UTSA.

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