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

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

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2cos(2x)+sqrt(3)=2sqrt(3)

2 cos (2 x) + 3 = 23

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

Solution steps

2 cos (2 x) + 3 = 23

Move

3

to the right side

2 cos (2 x) = 3

Divide both sides by

2

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

sin (x) cos (2 x) = \frac{1}{2} (1 + sin (x))

e^{s i n (x)} = 2

\frac{sec ( x )}{cot ( x ) tan ( x )} = sin (x)

\frac{cos ( x )}{2} = - 1

sin (θ) - 0.2 cos (θ) = 0.565

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