Question

Prove each of the following identities:
1. (i) (1 - cos 0) cosec 0 = 1 (ii) (1 - coto) sino = 1​

Answer 1

Answer:

L.H.S. =

1+cosθ

1−cosθ

⇒ L.H.S. =

1+cosθ

1−cosθ

×

1−cosθ

1−cosθ

⇒ L.H.S. =

1−cos

2

θ

(1−cosθ)

2

=

sin

2

θ

(1−cosθ)

2

⇒ L.H.S. = (

sinθ

1−cosθ

)

2

=(

sinθ

1

−

sinθ

cosθ

)

2

=(cosecθ−cotθ)

2

=R.H.S.

Step-by-step explanation:

hope it's helpful!