Question

Determine the point (x, y) on the unit circle associated with the following real numbers. Write the exact answer as an ordered pair. Do not round.5xS-3

Answer 1

Given:

`s=-(5\pi)/(3)`

To find the point (x,y) on the unit circle:

The coordinate of the unit circle can be derived by,

`(\cos s,\sin s)`

Substituting the value of s, we get

`\begin{gathered} (\cos (-(5\pi)/(3)),\sin (-(5\pi)/(3)))=(\cos (2\pi-(5\pi)/(3)),\sin (2\pi-(5\pi)/(3))) \\ =(\cos ((\pi)/(3)),\sin ((\pi)/(3))) \\ =((1)/(2),\frac{\sqrt[]{3}}{2}) \end{gathered}`

Hence, the coordinate point on the unit circle is,

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