What is the general solution for 4cos^2(x)+4sqrt(3)cos(x)+3=0 ?

The general solution for 4cos^2(x)+4sqrt(3)cos(x)+3=0 is x=(5pi)/6+2pin,x=(7pi)/6+2pin

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4cos^2(x)+4sqrt(3)cos(x)+3=0

4 cos^{2} (x) + 43 cos (x) + 3 = 0

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

Solution steps

4 cos^{2} (x) + 43 cos (x) + 3 = 0

Solve by substitution

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

cos (x) = - \frac{3}{2} : x = \frac{5 π}{6} + 2 πn, x = \frac{7 π}{6} + 2 πn

Combine all the solutions

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

4 cos^{2} (β) - 4 cos (β) = 3

x, cot (x) = 1

sin^{4} (x) + cos^{4} (x) = \frac{5}{8}

0 = \frac{1}{9} sin (9 t)

tan (x) = \frac{3}{3}

What is the general solution for 4cos^2(x)+4sqrt(3)cos(x)+3=0 ?
The general solution for 4cos^2(x)+4sqrt(3)cos(x)+3=0 is x=(5pi)/6+2pin,x=(7pi)/6+2pin