Question

This one is of trigonometry please answer step by step with a given picture

Answer 1

Step-by-step explanation:

1-cos^2©=sin^2©

cot^2©=cos^2©/sin^2©

cos^2©/sin^2©(sin^2©)

sin^2© cancel each other

=cos^2©

Answer 2

Step-by-step explanation:

L.H.S. :

cot² θ ( 1 - cos² θ )

We know that cot θ = cos θ / sin θ

Therefore cot² θ = cos² θ / sin² θ

⇒ cos² θ / sin² θ ( 1 - cos² θ )

We also know that sin² θ + cos² θ = 1 ⇒ sin² θ = cos² θ - 1

⇒ cos² θ / sin² θ ( sin² θ )

⇒ cos² θ = R.H.S.

Hence proved.