Please help. WILL MEDAL! @mathstudent55 @jim_thompson5910 @Kainui @sleepyjess @satellite73 @zepdrix @rebeccaxhawaii

Question

okdutchman7 · Answer

$$\sin \frac{ \theta }{ 2 } -1 =0$$

okdutchman7 · Answer

Solve the equation given that $$0 \le \theta < 360$$

okdutchman7 · Answer

$$\sin \frac{ \theta }{ 2 } =1$$

zepdrix · Answer

$$\large\rm \sin\color{orangered}{x}=1$$Different angle this time, right?

okdutchman7 · Answer

Yes

okdutchman7 · Answer

So I have to find the angles where sine = 1 and double those?

zepdrix · Answer

Yes, and normally, you would double the 360k as well.
But since we're in this interval 0 to 360,
720k isn't going to give us any new angles besides k=0.

okdutchman7 · Answer

$$\theta = 180$$

zepdrix · Answer

I guess this would be a nice way to generalize that "rule" or however you want to think of it:

Whenever your theta is being multiplied by something,
you'll need to include the +360k.

When your theta is being divided by something,
you won't need it.

okdutchman7 · Answer

So is my answer^^ correct?

zepdrix · Answer

yes, good job.

sorry internet broke

okdutchman7 · Answer

That's to me too.

okdutchman7 · Answer

Thank You!