Question #54631

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Answer 1 · 2016-10-29T15:22:07

To prove :- #color(blue)(Cos^2acot^2a=cot^2a-cos^2a)#

#RHS=cot^2a-cos^2a#

#=cot^2a(1-(cos^2a)/(cot^2a))#

#=cot^2a(1-(cos^2a)/((cos^2a)/(sin^2a)))#

#=cot^2a(1-cancel(cos^2a)/cancel(cos^2a)*sin^2a)#

#=cot^2a(1-sin^2a)#

#=cot^2acos^2a=LHS#

proved