Toolkit 77

sin, cos, tan, cot — Special Angles

Angle	$\sin\theta$	$\cos\theta$	$\tan\theta$	$\cot\theta$
$15^\circ$	$\dfrac{\sqrt{6}-\sqrt{2}}{4}$	$\dfrac{\sqrt{6}+\sqrt{2}}{4}$	$2-\sqrt{3}$	$2+\sqrt{3}$
$75^\circ$	$\dfrac{\sqrt{6}+\sqrt{2}}{4}$	$\dfrac{\sqrt{6}-\sqrt{2}}{4}$	$2+\sqrt{3}$	$2-\sqrt{3}$

Angle	$\sin\theta$	$\cos\theta$	$\tan\theta$	$\cot\theta$
$18^\circ$	$\dfrac{\sqrt{5}-1}{4}$	$\dfrac{\sqrt{10+2\sqrt{5}}}{4}$	$\dfrac{1}{\sqrt{5+2\sqrt{5}}}$	$\sqrt{5+2\sqrt{5}}$
$36^\circ$	$\dfrac{\sqrt{10-2\sqrt{5}}}{4}$	$\dfrac{1+\sqrt{5}}{4}$	$\sqrt{5-2\sqrt{5}}$	$\dfrac{1}{\sqrt{5-2\sqrt{5}}}$
$54^\circ$	$\dfrac{1+\sqrt{5}}{4}$	$\dfrac{\sqrt{10-2\sqrt{5}}}{4}$	$\dfrac{1}{\sqrt{5-2\sqrt{5}}}$	$\sqrt{5-2\sqrt{5}}$
$72^\circ$	$\dfrac{\sqrt{10+2\sqrt{5}}}{4}$	$\dfrac{\sqrt{5}-1}{4}$	$\sqrt{5+2\sqrt{5}}$	$\dfrac{1}{\sqrt{5+2\sqrt{5}}}$

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