Question

Complete the identities.
1+cot²θ=

Answer 1

`\csc ^2(\theta)`

Explanation:

Using Pythagorean identity,

`\mathrm{1+\cot ^2(x)=\csc ^2(x)}\\\mathrm{=\csc ^2(\theta)}`

Answer 2

1 + cot² θ = sec² θ

Explanation:

1 + cot²θ =

I know this identity to be true:

sin² θ + cos² θ = 1

Divide both sides by sin² θ.

sin² θ / sin² θ + cos² θ / sin² θ = 1 / sin² θ

1 + cot² θ = sec² θ