Math, asked by subedisadikshya76, 3 months ago

1 by 1 minus Cos A minus 1 by 1 + Cos A equal to 2 cos A.cosecA

Answers

Answered by farhaanaarif84

0

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

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