Question

State what a positive and negative angle signifies and explain how to draw each. Include an example1. What is a positive angle? Please provide an example.2. What is a negative angle? Please provide an example.3. Why are there an infinite number of angles that are coterminal to any given angle?

Answer 1

1) A positiveangle is an angle which is drawn from the initial postion to the final position in the counterclockwise direction. An example of a negative angle is 30 degrees. The diagram is shown below

2)

A negative angle is an angle which is drawn from the initial postion to the final position in the clockwise direction. An example of a negative angle is - 30 degrees. The diagram is shown below

3) Coterminal angles have the same initial position or side and end up in the same terminal side. The difference between coterminal angles is one full rotation which is 360 degrees. This means that we would find coterminal angles by adding or subtracting 360 degrees. Since we can add or subtract an infinite number of 360 degrees, then,

an infinite number of angles that are coterminal to any given angle