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

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asked Sep 3, 2019 103k views

1 vote

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

Mathematics
high-school

Ben Usman asked

by Ben Usman

6.2k points

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1 Answer

3 votes

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

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

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

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

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

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

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

$\cos^2 x = \cos^2 x$

Ruslan Ismagilov answered Sep 10, 2019