Question

solve on the interval [0,2pi): 1+sin theta =1/2

Answer 1

sin theta = 1/2 - 1 = -1/2

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

-then you can find theta - recall that the sine is negative in the 3rd and 4th quadrants

Answer 2

0.008727? or 30

Answer 3

for sin-1 1/2

Answer 4

30 degrees or pi/6

Answer 5

i think they want the answer in radians as they wrote (0,2pi)

Answer 6

yes

Answer 7

but pi/6 is not the answer as the sine is negative 1/2

there are 2 solutions - one in 3rd and one in 4th quadrant