Verify that the point lies on the graph of the unit circle 1

Verify that the point lies on the graph of the unit circle. (1/2, Squareroot 3/2) We check the point by showing that the coordinates satisfy the equation of the unit circle. x^2 + y^2 = (1/2)^2 + ()^2 = 1/4 +/4 = Thus, the point (1/2, Squareroot 3/2) does lie on the graph of the unit circle.

Solution

x^2 + y^2 = 1 Equation of circle

( 1/2 , sqrt3/2)

Plug the above point in the equation of circle

(1/2)^2 + (sqrt3/2)^2

    (sqrt(3))^2 = 3

1/4 + 3/4

(1+3)/4

1

Hence Proved that point lies on unit circle