Question

Prove that 1/sin square theta - cot square theta=1

Answer 1

Answer:

1

Step-by-step explanation:

The given equation is:

cot^2{\theta}-\frac{1}{sin^2{\theta}}

On solving this equation, we get

=\frac{cos^2{\theta}}{sin^2{\theta}}-\frac{1}{sin^2{\theta}}

=\frac{cos^2{\theta}-1}{sin^2{\theta}}

=\frac{-sin^2{\theta}}{sin^2{\theta}}

=1

Thus, the value of the given equation is 1.