y=sinx list all values on the interval [-3pi/2,15pi/4]that satisfy the ordered pair (x,1/2)

Question

y=sinx list all values on the interval [-3pi/2,15pi/4]that satisfy the ordered pair (x,1/2)

Answer 1

-3pi/2 = minus 270 degrees

15pi/4 = 4pi minus pi/4 = 4(180)- 45 degrees = 720-45 = 675 degrees

y = sin(1/2) = 30 degrees +/- 180n where n = any integer

y = 30, 210, 390, 570, -150,

convert to radians if you prefer,

but most people feel more comfortable dealing with degrees