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

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

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

- 2 cos (2 x) = 3

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

Solution steps

- 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{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

(tan (x) - 1) (2 sin (x) - 3) = 0

tan (θ) (1 + tan^{2} (θ)) = 0

tan (x) = 9

sin (2 x) = 0, 0 \leq x \leq 2 π

\frac{1}{2} = sin^{2} (x)

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