Simplify sine theta over square root of the quantity 1 minus sine squared theta.

Solution:

Given, sin θ/√(1 - sin²θ)

By using trigonometric identities,

sin²θ + cos²θ = 1

⇒ 1 - sin²θ = cos²θ

Hence, we can write the given equation in the problem as:

sin θ /√(1 - sin²θ)

= sin θ/√cos²θ

= sin θ/cos θ

= tan θ

Simplify sine theta over square root of the quantity 1 minus sine squared theta.

Summary:

Simplifying sine theta over square root of the quantity 1 minus sine squared theta, sin θ/√(1 - sin²θ), is tan θ.