Plzzz solve this problem as fast as possible.....
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Question is wrong.
L.H.S. tanA/1-cotA + cotA/1-tanA
=tanA/1-1/tanA+1/tanA/1-tanA
=tanA/tana-1/tanA+1/tanA(1-tanA)
= tan^3 A-1/tanA(tanA-1)
=tan^3 A-(1)^3/tanA(tana-1)
=(tana-1)(tan^2 A+ tanA×1+1^2)/ tanA(tanA+1)
=tan^2 A/tanA+tanA/tanA+1/tanA
=tanA+1+cotA
=sinA/cosA+1+cosA/sinA
=sin^2 A+ cos^2 A +sinA•cosA/sinA•cosA
=1+sinA•cosA/sinA•cosA
=1+sinA•cosA/sinA•cosA
=1/sinA•cosA + sinA•cosA/sinA•cosA
=1+secA•cosecA=R.H.S.
VishalRajvir:
nice and hot dp
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