Q. 2 B4.9( 7 Votes )

# Prove the following identities

Consider LHS,

LHS =

Multiplying numerator and denominator by (1 + cosθ),

= ×

We know that (a + b) (a – b) = a2 – b2

=

We know that 1 – cos2θ = sin2θ.

=

= +

= +

We know that = cosecθ and = cotθ

= cosecθ + cotθ = RHS

Hence proved.

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