2sinθ = −3 Find the degrees that fit.

Question

in degrees, please. i already know one answer is 300 but i need the other one

Answer 1

If you know one answer is 300 degreees, that's the same as 5pi/3 radians in the 4th quadrant

if x = 300, then sinx = -sqr3/2

if x = 240, then sinx also = -sqr3/2

so odds are if 300 is correct then the other answer is 240

BUT 2sinx =-3 has no solution. since sinx would then =-3/2 which is impossible. No sine is less than -1.

maybe you meant to write 2sinx =-sqr3 ??? then 300 and 240 would be the solutions if the angle is between 0 and 360.

or if there is no limitation on the range of the angle, then the solutions would be 300 or 240 plus 360n where n equals any real integer.

Answer 2

This is a trick question, unless the problem was copied wrong.

sinθ = -3/2 is undefined because the range of sinθ is [-1,1]. -1.5 is less than -1.