SOLUTION: Please help me with this question and show all steps if possible thank you!
{{{3 cos2x= cosx +2}}}
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Question 312174: Please help me with this question and show all steps if possible thank you!
Found 2 solutions by fractalier, Fombitz:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Okay from
3 cos2x = cosx +2
let's apply our identity for cos 2x...
cos 2x = cos^2 x - sin^2 x = 2 cos^2 x - 1
so that if we substitute we get
3(2 cos^2 x - 1) = cos x + 2
6 cos^2 x - 3 = cos x + 2
6 cos^2 x - cos x - 5 = 0 now factor this...
(6 cos x + 5)(cos x - 1) = 0
and then
cos x = -5/6 or cos x = 1
x = arc cos (-5/6) or x = 0
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
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