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How do you solve $Cos(x - pi/6) = -1/2$ ?

1 Answer

Apr 17, 2016

$S={(5pi)/6 +2pin, -pi/2 + 2pin}$

Explanation:

$x-pi/6 =cos^-1 (-1/2)$

$x-pi/6 = +- (2pi)/3 + 2pin$

$x= pi/6 +- (2pi)/3 +2pin$

$x=(5pi)/6 +2pin, -pi/2 + 2pin$

$S={(5pi)/6 +2pin, -pi/2 + 2pin}$

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