Question

Cos^(2)x=(cscxcosx)/(tanx+cotx)

Answer 1

`\cos^2 x = (\csc x \cos x)/(\tan x + \cot x)`


`\cos^2 x = (\csc x \cos x)/((\sin x)/(\cos x) + (\cos x)/(\sin x))`


`\cos^2 x = (\csc x \cos x)/((\sin x)/(\cos x) * (\sin x)/(\sin x) + (\cos x)/(\sin x) * (\cos x)/(\cos x))`


`\cos^2 x = (\csc x \cos x)/((\sin^2 x)/(\sin x \cos x) + (\cos^2 x)/(\sin x \cos x))`


`\cos^2 x = (\csc x \cos x)/((1)/(\sin x \cos x))`


`\cos^2 x = \csc x \cos x \sin x \cos x`


`\cos^2 x = (1)/(\sin x) \cos x \sin x \cos x`


`\cos^2 x = \cos^2 x`