Question

Prove that Cosec A - Cot A = Sin A /1 + Cos A​

Answer 1

Answer:

Cosec A - Cot A =LHS

=1/sinA- cosA /sin A

1-cos A/sinA

multiple numerator and denominator by 1+cos

1-cos A/sin A× 1+cos A/1+cos A

= 1-cos²A /sonA(1+cosA)

sin²A/sinA (1+cosA)

=sinA/1+cos A