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

The general solution for solvefor x,cos(2x)=(sqrt(3))/2 is x= pi/(12)+pin,x=(11pi)/(12)+pin

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solvefor x,cos(2x)=(sqrt(3))/2

solve for

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

x = \frac{π}{12} + πn, x = \frac{11 π}{12} + πn

Solution steps

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

General solutions for

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

2 x = \frac{π}{6} + 2 πn, 2 x = \frac{11 π}{6} + 2 πn

Solve

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

Solve

2 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{12} + πn

x = \frac{π}{12} + πn, x = \frac{11 π}{12} + πn

tan (\frac{2 θ}{3}) + 3 = 0

sin (x) - 6 = cos (x) - 6

sin (θ) = 0.529

4 sin (x) - 2 csc (x) = 0

2 sin (2 x) = - 1, 0 < x < 2 π

What is the general solution for solvefor x,cos(2x)=(sqrt(3))/2 ?
The general solution for solvefor x,cos(2x)=(sqrt(3))/2 is x= pi/(12)+pin,x=(11pi)/(12)+pin