Find x of point

Question

Find x if the point (x, -6) is on the terminal side of theta and sin(theta)= -3/5

Answer 1

Sine is negative in quadrants 3 and 4

quadrant 3:

opposite = -3, hypotenuse = 5

adjacent = -4

so the point is (-4,-3)

in quadrant 4:

opposite = -3, hypotenuse = 5

adjacent = 4

so the point is (4,-3)