Question

Sin A/ 1 + Cos A = cosec A - Cot A A/ 1 + Cos A = cosec A - Cot A

Plz solve this

Answer 1

hey there,

Answer:

proof given below:

Explanation:

Taking conjugate of the denominator

1−cosΘ1+cosΘ=1−cosΘ1+cosΘ⋅1−cosΘ1−cosΘ

=(1−cosΘ)212−cos2Θ

We have sin2Θ+cos2Θ=1
so sin2Θ=1−cos2Θ

=(1−cosΘ)2sin2Θ

=(1−cosΘsinΘ)2

Separating the fractions

=(1sinΘ−cosΘsinΘ)2

=(cscΘ−cotΘ)2

Hope this helps!