Prove that:
(1 + cosθ + sinθ )/(1 + cosθ – sinθ ) = (1 + sinθ )/cosθ​

1 thought on “Prove that:<br />(1 + cosθ + sinθ )/(1 + cosθ – sinθ ) = (1 + sinθ )/cosθ​”

1. L.H.S. = cos θ/(1 + sin θ) Multiplyiing num., and deno., by 1 – sin θ

   = cos θ(1 – sin θ)/(1 + sin θ)(1 – sin θ)

   = cos θ(1 – sin θ)/1 – sin2 θ

   = cos θ(1 – sin θ)/cos2 θ

   = 1 – sin θ/cos θ

   = R.H.S.

   Hence proved

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