Respuesta :

Answer with explanation:

In the problem ,theta is replaced by A.

Use the following trigonometric identity to solve the problem

[tex]1.sin^2A+cos^2A=1\\\\2.tan A=\frac{sinA}{cosA}[/tex]

The Given function is

[tex]\frac{sin A}{\sqrt{1-sin^2A}}\\\\= \frac{sinA}{\sqrt{cos^2A}}\\\\=\frac{sinA}{cosA}\\\\=tan A[/tex]

The expression is simplified as tan θ.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The expression is given below.

[tex]\rm \rightarrow \dfrac{\sin \theta}{ \sqrt {1 - \sin ^2 \theta}}[/tex]

We know

sin²θ + cos²θ = 1

Then the expression can be simplified as

⇒ sinθ /√(cos²θ)

⇒ sinθ / cosθ

⇒ tanθ

More about the triangle link is given below.

https://brainly.com/question/25813512

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