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) = a^{2} - b^{2}]

[ sin^{2}θ + cos^{2}θ = 1]

= 1

= RHS

Proved !

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