SOLUTION: Find all solutions on the interval x element [0, 2pi) for the trigonometric equation 6sin^2(x) + sin(x) - 2 = 0

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Question 958739: Find all solutions on the interval x element [0, 2pi) for the trigonometric equation 6sin^2(x) + sin(x) - 2 = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This is a quadratic equation.
6u%5E2%2Bu-2=0
%282u-1%29%283u%2B2%29=0
Two u solutions:
2u-1=0
2u=1
u=1%2F2
sin%28theta%29=1%2F2
theta=pi%2F6 and theta=%285%2F6%29pi
.
.
3u%2B2=0
3u=-2
u=-2%2F3
sin%28theta%29=-2%2F3
theta=+5.553 and theta=3.871