SOLUTION: Find all t in the interval [0, 2π] satisfying (cos t)2 − 6 cos t + 5 = 0.

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Question 493646: Find all t in the interval [0, 2π] satisfying (cos t)2 − 6 cos t + 5 = 0.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all t in the interval [0, 2π] satisfying (cos t)2 − 6 cos t + 5 = 0.
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assuming you meant (cos t)2 to be cos^2t:
..
cos^2t-6cost+5=0
Factor
(cost-5)(cost-1)=0
cost-5=0
cost=5 (reject, not in range)
..
cost-1=0
cost=1
t=0 and 2π