If the point p(-3/5,y)lies on the unit circle and p is in the second quadrant, what does y equal

If  P(x, y)  lies on the unit circle, then the distance from  P  to the origin must be  1:

     √(x² + y²) = 1

     x² + y² = 1

     (– 3/5)² + y² = 1

     (9/25) + y² = 1

Multiply both sides by  25:

     9 + 25y² = 25

Solve the equation for  y:

     25y² = 25 – 9

     25y² = 16

     y² = 16/25

     y² = (4/5)²

Take the square root of both sides:

     y = ± √(4/5)²

     y = ± 4/5

Since  P  is in the second quadrant, then  y  must be positive:

     y > 0

So,

     y = 4/5   <———   this is the answer.

I hope this helps. =)

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