Question

prove that: √1+cos A /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−cos A

=

sinA

1

−

sinA

cosA

=cosecA−cotA= R.H.S.

Step-by-step explanation:

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