Prove the following identities
[CBSE 2001]
Taking LHS ![]()
[multiplying and divide by conjugate of 1– sinθ in 1st term and 1+sinθ in 2nd term]



[∵ cos2 θ + sin2 θ = 1]
=![]()
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= 2 sec θ
=RHS
Hence Proved
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[CBSE 2001]
[CBSE 2003]
[CBSE 2003]