Question

proof that : root 1- cos A by 1+ cos A = cosec A - cot A​

Answer 1

Answer:

We need to prove

1+cosA

1−cosA

=cosecA−cotA

By taking L.H.S. =

1+cosA

1−cosA

=

1+cosA

1−cosA

×

1−cosA

1−cosA

=

1−cos

2

A

(1−cosA)

2

=

sin

2

A

(1−cosA)

2

=

sinA

1−cosA

=

sinA

1

−

sinA

cosA

=cosecA−cotA= R.H.S.

Hence, proved