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$\sin^{2}x+\cos^{2}x=1$
$\tan x=\dfrac{\sin x}{\cos x}$
$co\tan x=\dfrac{\cos x}{\sin x}$
$1+\tan^{2} x=\dfrac{1}{\cos^{2}x}$
$1+co\tan^{2}x=\dfrac{1}{\sin^{2}x}$
$\cos(x+y)=\cos x\cos y-\sin x\sin y$
$\sin (x+y)=\sin x\cos y+\cos x_sin y$