Question

Solve the interval [0,2pi): 1+sin theta=1/2
A.2pi/3, 4pi/3
B.pi/6, 5pi/6
C.pi/3, 5pi/3
D.7pi/6, 11pi/6

Answer 1

subtract 1 from both sides of the equation:
sin theta = -1/2

Answer 2

Do I graph sin theta =-1/2?

Answer 3

What does the [0,2pi) even mean?

Answer 4

[0,2pi) means the solutions in the range 0 to 2pi radians

Answer 5

So can that limit my answers, or it doesn't matter?

Answer 6

first find the reference angle
use your calculator to find the angle whose sine is 1/2

enter sin-1 (1/2)
make sure that your calc is set to radians
can you do that?

Answer 7

yes it limits the answers to angles in that range

Answer 8

Yeah, althoght dont I need the unit circle for that, and can graphing be another way to solve the problem?

Answer 9

you can but its easier to use calc or you can use the dtandard triangle below:-