Q. 324.0( 4 Votes )

Prove the following identities

tan2 φ + cot2 φ + 2 = sec2ϕ. cosec2ϕ

Answer :

Taking LHS = tan2 φ + cot2 φ + 2

[ (a + b)2 = (a2 + b2 + 2ab)]

[ cos2 φ + sin2 φ = 1]

= sec2 φ cosec2 φ


Hence Proved

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