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

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

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

23 cos (2 x) = - 3

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

Solution steps

23 cos (2 x) = - 3

Divide both sides by

23

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

3 cos (x) + sin (x) = 1

cos^{2} (x) = \frac{2 + 3}{4}

e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x) = 0

2 cot (x) + tan (x) = - 2

sin (x) - 3 = 0

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