SOLUTION: Fins all exact solutions on (0, pi) for 2 cos^2(t) - 3 cos(t) = -1

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Question 1176516: Fins all exact solutions on (0, pi) for 2 cos^2(t) - 3 cos(t) = -1
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


It's a quadratic equation with cos(t) as the variable. Solve like a quadratic polynomial equation:
(1) get everything on one side, set equal to 0 on the other side
(2) factor the quadratic
(3) the solutions are whatever makes either factor equal to 0

2%2Acos%28t%29%5E2-3%2Acos%28t%29=-1
2%2Acos%28t%29%5E2-3%2Acos%28t%29%2B1=0
%282cos%28t%29-1%29%28cos%28t%29-1%29=0
2cos%28t%29=1 or cos%28t%29=1

You can finish from there.