What is the general solution for 8cos^2(x)=2 ?

The general solution for 8cos^2(x)=2 is x= pi/3+2pin,x=(5pi)/3+2pin,x=(2pi)/3+2pin,x=(4pi)/3+2pin

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8cos^2(x)=2

8 cos^{2} (x) = 2

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Solution steps

8 cos^{2} (x) = 2

Solve by substitution

cos (x) = \frac{1}{2}, cos (x) = - \frac{1}{2}

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

cos (x) = - \frac{1}{2} : x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Combine all the solutions

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

arctan (t) + 1 = 1

2 cos^{2} (θ) - 7 cos (θ) + 3 = 0, 0 < θ < 2 π

csc (θ) = \frac{3}{2}

12 cos^{2} (x) + 5 sin (x) - 9 = 0

2 + 2 cos (θ) = 2

What is the general solution for 8cos^2(x)=2 ?
The general solution for 8cos^2(x)=2 is x= pi/3+2pin,x=(5pi)/3+2pin,x=(2pi)/3+2pin,x=(4pi)/3+2pin