Question

sinA/1+cosA = cosecA + cotA​

Answer 1

Answer:

To prove : 1+cos A = csc A- cot A

Proof:

Taking LHS,

sin A 1+cos A

Rationalize,

=

sin A 1+cos A

X

1-cos A 1-cos A

sin A(1-cos A) (1+cos A)(1-cos A)

sin A(1-cos A) 1²-cos² A

sin A(1-cos A) sin² A

1-cos A sin A

= 1 sin A cos A sin A

=csc Atan A

RHS

So, LHS-RHS hence proved.