The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. 3π/4

Solution:

Given,

Angle = 3π/4.

Coterminal angles are the angles that have the same initial side and share the terminal sides. When the angles are moved clockwise or anticlockwise the terminal sides coincide at the same angle.

An angle is a measure of the rotation of a ray about its initial point. The original ray is called the initial side and the final position of the ray after its rotation is called the terminal side of that angle.

To find coterminal angles, you have to either add or subtract 2π.

Positive Angle:

3π/4 + 2π = 11π/4

3π/4 + 2·2π =19π/4

Negative Angle:

3π/4 - 2π = -5π/4

3π/4 - 2·2π = -13π/4

Therefore, positive angle: 11π/4, 19π/4 and negative angle: -5π/4, -13π/4.

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. 3π/4

Summary:

Two positive angles and two negative angles that are coterminal with the given angle, 3π/4 is positive angle: 11π/4, 19π/4 and negative angle: -5π/4, -13π/4.