Provide the solutions to the following True or False questions regarding polygons and trigonometry.

Here are the solutions to the questions.

Part 1: Write True or False

1. The number of sides of a polygon is always equal to the number of its angles.

   • True. By definition, a polygon has an equal number of sides, vertices, and angles.

2. Any polygon must have at least 3 sides.

   • True. A polygon is a closed figure formed by straight line segments. The minimum number of segments required to form a closed figure is three (a triangle).

3. The value of $\sin \theta$ can never be greater than 1.

   • True. For any real angle $\theta$, the range of the sine function is $[-1,