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

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

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

4 cos (x) + 23 = 0

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

Solution steps

4 cos (x) + 23 = 0

Move

23

to the right side

4 cos (x) = - 23

Divide both sides by

4

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

General solutions for

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

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

c, 1 = tan (c)

4 cos^{2} (x) + 3 sin^{2} (x) - 4 = - tan^{2} (x)

tan^{2} (x) - 2 = 3 tan (x)

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

2 tan^{2} (θ) - 2 = 0

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