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(1+tan2A1+cot2A)=(1tanA1cotA)2=tan2A


A

True

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B

False

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Solution

The correct option is A

True


1+tan2A1+cot2A)=1+tan2A1+1tan2A)=1+tan2A[(1+tan2A)tan2A]=tan2A
(1tanA1cotA)2=[1sinAcosA1cosAsinA]2=(sin2A)×(cosAsinA)2(cos2A)×(sinAcosA)2=(sin2A)(cos2A)×(1)2=sin2Acos2A=tan2A
(1+tan2A1+cot2A)=(1tanA1cotA)2=tan2A.


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