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Quick General Solution Trig Question (1 Viewer)

pikachu975

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Find the general solution of cosx - sqrt(3) sinx = 1
The answer says x = 2n(pi) +- pi/3 - pi/3 but I don't get why. Thanks in advance
 

pikachu975

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Thanks, I accidentally did x + pi/3 = pi/3, 5pi/3...
But I minused the pi/3 first so I got it wrong, thanks for the help.
 

Orthos

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√3 sin(x) = cos(x) - 1
3sin^2(x) = cos^2(x) - 2cos(x) + 1
2cos^2(x) - cos(x) - 1 = 0
(2cos(x) + 1)(cos(x) - 1) = 0
 

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