Question

Prove that 1 + sin θ - cos θ / 1 + sin θ + cos θ = 1 - cosθ / sinθ

Answer 1

Answer:

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Step-by-step explanation:

LHS=

1+cosθ−sinθ

1+cosθ+sinθ

=

(1+cosθ−sinθ)(1+cosθ+sinθ)

(1+cosθ+sinθ)(1+cosθ+sinθ)

=

(1+cosθ)cosθ

1+cosθ+sinθ+cosθsinθ

=

(1+cosθ)cosθ

(1+sinθ)(1+cosθ)

=

cosθ

1+sinθ

=RHS

Hence proved