Please help. WILL MEDAL! @Mehek14 @triciaal @sleepyjess @hartnn @satellite73 @jim_thompson5910

Question

okdutchman7 · Answer

$$\sin \theta = -\frac{ \sqrt{3} }{ 2 }$$

erak · Answer

Do you have a restriction on theta?

okdutchman7 · Answer

$$0 \le \theta < 360$$

okdutchman7 · Answer

I think 300 is a solution, but I have to find them all. There is supposedly 2.

anthonyym · Answer

|dw:1462933568372:dw|

erak · Answer

Were you taught the CAST rule and something called the 30-60-90 triangle?

okdutchman7 · Answer

Not the CAST rule but yes I am aware that this forms a 30-60-90 triangle.

jim_thompson5910 · Answer

One method is to use the unit circle https://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Unit_circle_angles_color.svg/2000px-Unit_circle_angles_color.svg.png Look for points (on the unit circle) that have y coordinates equal to $\LARGE -\frac{\sqrt{3}}{2}$

okdutchman7 · Answer

So the second value would be 240.

okdutchman7 · Answer

Thanks for that resource @jim_thompson5910

jim_thompson5910 · Answer

no problem

anthonyym · Answer

|dw:1462933666151:dw|
ASTC
All: sin, cos, tan are all positive
S: only sin positive
T: only tan positive
C: only cos positive

Therefore sine is negative in quadrants III and IV, which matches -sqrt3 / 2, which is negative.