Question

If point P(-12/13,y) lies on the unit circle and P is in the second quadrant, y is _____. If necessary, use the slash bar ( / ) to represent a fraction.

Answer 1

The correct answer is y = 5/13. We say this due to the next procedure:

cos^2 + sin^2 = 1
(-12/13)^2 + sin^2 = 1
144/169 + sin^2 = 1
sin^2 = 1-144/169
sin^2 = 25/169
sin = sqrt(25/169)
sin = 5/13
Hope this can help you greatly