SOLUTION: cos4x=(-sqrt3)/2

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Question 1029962: cos4x=(-sqrt3)/2
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
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cos4x=(-sqrt3)/2
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cos(4x) = -sqrt%283%29%2F2  --->  

4x = 5pi%2F6+%2B+2k%2Api,  k = 0, +/-1, +/-2 . . .  (1)

or

4x = 7pi%2F6+%2B+2k%2Api, k = 0, +/-1, +/-2 . . .  (2)


From (1):  x = 5pi%2F24+%2B+%28k%2Api%29%2F2,  k = 0, +/-1, +/-2 . . .

From (2):  x = 7pi%2F24+%2B+%28k%2Api%29%2F2,  k = 0, +/-1, +/-2 . . .