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

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

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

3 cos^{2} (x) - 23 cos (x) = cos (x)

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Solution steps

3 cos^{2} (x) - 23 cos (x) = cos (x)

Solve by substitution

cos (x) = \frac{2 3 + 1}{3}, cos (x) = 0

cos (x) = \frac{2 3 + 1}{3} :

No Solution

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

196 sin (θ) - 49 cos (θ) = 160

4 tan (x) + 3 = - 7

8 tan (θ) + 15 = 0

cos (x) = \frac{48.4}{54.5}

(sin (x^{3} + 2 x - 1)) a = 1

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