Power of trigonometric functions formulas

$\sin^2\alpha = \dfrac{1-\cos2\alpha}{2}$

$\sin^3\alpha = \dfrac{3\sin\alpha - \sin 3\alpha}{4}$

$\sin^4\alpha = \dfrac{\cos4\alpha-4\cos2\alpha+3}{8}$

$\sin^5\alpha = \dfrac{10\sin\alpha - 5\sin3\alpha + \sin 5\alpha}{16}$

$\sin^6\alpha = \dfrac{10-15\cos2\alpha+6\cos4\alpha-\cos6\alpha}{32}$

$\cos^2\alpha=\dfrac{1+\cos2\alpha}{2}$

$\cos3\alpha=\dfrac{3\cos\alpha+\cos3\alpha}{4}$

$\cos^4\alpha=\dfrac{\cos4\alpha+4\cos2\alpha+3}{8}$

$\cos^5\alpha=\dfrac{10\cos\alpha+5\sin3\alpha+\cos5\alpha}{16}$

10.

$\cos^6\alpha=\dfrac{10+15\cos2\alpha+6\cos4\alpha+\cos6\alpha}{32}$