SOLUTION: Find all t in the interval [0, 2π] satisfying 2(sin t)2 − sin t = 1

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Question 476462: Find all t in the interval [0, 2π] satisfying 2(sin t)2 − sin t = 1
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
2%28sint%29%5E2-sint=1
Let u=sint, then -1%3C=u%3C=1
2u%5E2-u=1
2u%5E2-u-1=0
%28u-1%29%282u%2B1%29=0
u-1=0 or 2u%2B1=0
u=1 or u=-1%2F2
sint=1 or sint=-1%2F2
t=pi%2F2 or t=%287%2Api%29%2F6 or t=%2811%2Api%29%2F6