(1+1/tan^2x)(1+1/cot^2x)=1/sin^2x-sin^4x.please help me prove it.PLease
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Expert's answer
2011-10-07T08:16:59-0400
(1+1/(tan x)^2)(1+1/(cotan x)^2)=1/(sin x)^2-(sin x)^4 1/(cos x)^2 * 1/(sin x)^2=1/(sin x)^2-(sin x)^4 1/(cos x)^2=1-(sin x)^6 (tan x)^2+(sin x)^6=0 tan x=0 and sin x=0 but it's not correct because we have tan x in the denominator. Hence given equality does not hold
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