Question

If the point (x,square root 3/2) is on the unit circle, what. is x?

Answer 1

`x=\pm(1)/(2)`

Explanation:

On a unit circle,
`(x,y)=(\cos\theta,\sin\theta)`, so
`\sin\theta=(√(3))/(2)` in this case. If you look at the attached circle, the only time that the y-coordinate is
`(√(3))/(2)` is when
`x=-(1)/(2)` and
`x=(1)/(2)`, which correspond to angles of
`\theta=(2\pi)/(3)` and
`\theta=(\pi)/(3)` respectively