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.S = 30

Answer 1

Remember that

In a unit circle, the radius of the circle is 1

see the figure below to better understand the problem

we have that

`\sin (30^o)=(y)/(1)`

and we know that

`\sin (30^o)=(1)/(2)`

so

`\begin{gathered} (y)/(1)=(1)/(2) \\ y=(1)/(2) \end{gathered}`
`\cos (30^o)=(x)/(1)`

and we know that

`\cos (30^o)=\frac{\sqrt[]{3}}{2}`

so

`x=\frac{\sqrt[]{3}}{2}`

therefore

the coordinates (x,y) are

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