Question

What values for theta(0<= theat <= 2pi) satisfy the equation:
3sin theta = sin theta -1
a. pi/3, 5pi/3
b. 2pi/3, 4pi/3
c. pi/6, 3pi/6
7pi/6, 11pi/6
d. 7pi/6 ,11pi/6

Answer 1

\[3\sin\theta = \sin\theta - 1\]Correct?

Answer 2

Just isolate \(\sin\theta\)

Answer 3

I worked it out to sinθ = -1/2.
I'm honestly having a hard time grasping this stuff, so wondering what my next step would be?

Answer 4

Do you have unit circle you can use?

Answer 5

Yes

Answer 6

OK, then find sine that equals -1/2

You should see what degrees you have as answer.

Answer 7

240 degrees?

Answer 8

I think I have it - is the answer B?

Answer 9

thanks so much! If you're available, I have a lot of work to do tonight and would love help.

Answer 10

I'm confused because there are a few different areas that have -1/2?

Answer 11

What topic/area of Math is this? (Just so I'll know for future reference)