The point P is on the unit circle Find Px y from the given i

The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is - and P lies below the x-axis. P(x, y) = Consider the following. Find t and the terminal point determined by t for each point in the figure, where t is increasing in increments of pi/4.

Solution

1) x = -sqrt(6)/4

below x axis .It means P(x,y) lies in QIII

y coordinate = sqrt(1 - 6/16) = - sqrt(10)/4

P(x,y) = ( -sqrt(6)/4 , -sqrt(10)/4 )

2)