Question

Find the terminal point on the unit circle determined by 4pi/3 radians

Answer 1

Given:

A terminal point on the unit circle determined by 4pi/3 radians

The unit circle has a radius = 1

the terminal point (x,y) will be calculated using the following formulas:

`\begin{gathered} x=cos(\theta) \\ y=sin(\theta) \end{gathered}`

Substitute θ = 4pi/3

`\begin{gathered} x=cos((4\pi)/(3))=-(1)/(2) \\ \\ y=sin((4\pi)/(3))=-(√(3))/(2) \end{gathered}`

So, the answer will be:

`(x,y)=(-(1)/(2),-(√(3))/(2))`