Q. 104.3( 3 Votes )

Prove the followings identities:

(1 – sin θ)(1 + sin θ) = cso2 θ

Answer :

Taking LHS = (1 – sinθ)(1+ sinθ)

Using identity , (a + b) (a – b) = (a2 – b2) , we get

= (1)2 – (sinθ)2

= 1 – sin2 θ

= cos2 θ [ cos2 θ + sin2 θ = 1]


Hence Proved

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