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If x =(2 sin Θ)/(1+ cos????Θ + sinΘ), then (1 - cos Θ + sinΘ)/(1 + sinΘ ) is equal to (a) 1+x (b) 1-x (c) x (d) 1/x Pls explain.

If x =(2 sin Θ)/(1+ cos????Θ + sinΘ), then (1 - cos Θ + sinΘ)/(1 + sinΘ ) is equal to


(a) 1+x (b) 1-x (c) x (d) 1/x


Pls explain.

Grade:12th Pass

1 Answers

sanatan sharma
26 Points
9 years ago

given x = (2sinθ)/( 1+sinθ+cosθ)

multiplying the numerator and the denominator by (1+sinθ-cosθ)

x = (2sinθ)(1+sinθ-cosθ)/((1+sinθ)2-(cosθ)2)

on simplifying you will get same the desired as (1-cosθ+sinθ)/(1+sinθ) which is x.


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