What is the general solution for cos(2x)=-(sqrt(3))/2 ?

The general solution for cos(2x)=-(sqrt(3))/2 is x=(5pi)/(12)+pin,x=(7pi)/(12)+pin

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cos(2x)=-(sqrt(3))/2

cos (2 x) = - \frac{3}{2}

x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn

Solution steps

cos (2 x) = - \frac{3}{2}

General solutions for

cos (2 x) = - \frac{3}{2}

2 x = \frac{5 π}{6} + 2 πn, 2 x = \frac{7 π}{6} + 2 πn

Solve

2 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{12} + πn

Solve

2 x = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{12} + πn

x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn

cos (9)

\frac{1}{1 + tan ^{2} ( x )} + \frac{1}{1 + cot ^{2} ( x )} = 1

sin (3 x) = 1

cos (2 x) + cos (x) = 0

csch (ln (2))

What is the general solution for cos(2x)=-(sqrt(3))/2 ?
The general solution for cos(2x)=-(sqrt(3))/2 is x=(5pi)/(12)+pin,x=(7pi)/(12)+pin