Q. 5 A3.9( 22 Votes )

Prove the following.

secθ(1 - sinθ) (secθ + tanθ) = 1

Answer :

Taking LHS


secθ(1 - sinθ) (secθ + tanθ)




[(a + b)(a - b) = a2 - b2]


[ sin2θ + cos2θ = 1]


= 1


= RHS


Proved !


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