the point P=(x,2/3) lies on the unit circle shown below . what is the value of x in simplest form?

Answer 1

You have not provided a figure, so I will assume the unit circle is x² + y² = 1.

With that assumption x² + (2/3)² = 1

and you can solve that equation for x easily!

Answer 2

When you have a unit circle, the radius is always 1. Therefore, x² + y² = 1

If the point is (x, 2/3) we can substitute each value into the equation and solve for x.

x² + (2/3)² = 1

x² + 4/9= 1. Subtract 4/9 from each side.

x² = 5/9. Take the square root of each side.

x = √5/3 and x = -√5/3