Question

Find the reference angle θ^' and sketch θ and θ^' in standard position.

θ = 2π/3

Answer 1

Step 1:

The standard angle is .

Reference angle:

 If be an angle in standard position, its reference angle is the acute angle formed by the terminal side of , and the horizontal axis.

if in second quadrant then .

.

Graphing the standard angle and reference angle:

The standard angle is measured in counter clock wise direction.

The reference angle is measured in counter clock wise direction the measurement is positive.

 

Solution:

The reference angle