Question

A unit Circle is shown in the coordinate plane. An angle of 5pi/3 radians is also drawn in the unit circle.Using the diagram, determine the values of sin (5pi/3) and cos (5pi/3). Explain how you determined your answerPlease help it would be greatly appreciated

Answer 1

Given the angle (5pi/3 )

The given angle lies in the fourth quadrant

Which is the intersection between the ray and the unit circle

The intersection is the point :

`((1)/(2),-\frac{\sqrt[]{3}}{2})`

Cos (5pi/3) = the x-coordinate = 1/2

sin (5pi/3) = the y-coordinate = -(√3)/2