How do you simplify #(sin(x)cos(x))/(1-sin^2(x))#?

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Answer 1 · 2016-06-29T15:13:44

#(sin x * cos x)/(1-sin^2 x)=tan x#

We should start from the given expression

#(sin x * cos x)/(1-sin^2 x)#

#(sin x * cos x)/(cos^2 x)#

#(sin x * cos x)/(cos x* cos x)#

#(sin x * cancelcos x)/(cos x* cancelcos x)#

#sin x /cos x#

#tan x#

God bless....I hope the explanation is useful.