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The image you uploaded shows a mathematical expression where you're asked to show that:

\[
\frac{1}{\csc \theta + \cot \theta} = \frac{\sin \theta}{1 - \cos \theta}
\]

Let's solve this step by step.

### Step 1: Start with the left-hand side (LHS)
The LHS of the equation is:

\[
\frac{1}{\csc \theta + \cot \theta}
\]

Recall the trigonometric identities

Show that: 1 / (csc θ + cot θ) = sin θ / (1 - cos θ)

This problem involves proving the trigonometric identity 1 / (csc θ + cot θ) = sin θ / (1 - cos θ) using fundamental trigonometric identities. Suitable for high school students in Grades 10-12.

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