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

Question

asked Dec 9, 2023 221k views

1 Answer

Jno · Answer 1 · 2023-12-13T21:12:10+0000

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

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