What is the general solution for 2(1-cos^2(x))=1+cos(x) ?

The general solution for 2(1-cos^2(x))=1+cos(x) is x=pi+2pin,x= pi/3+2pin,x=(5pi)/3+2pin

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2(1-cos^2(x))=1+cos(x)

2 (1 - cos^{2} (x)) = 1 + cos (x)

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

Solution steps

2 (1 - cos^{2} (x)) = 1 + cos (x)

Solve by substitution

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

cos (x) = - 1 : x = π + 2 πn

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

Combine all the solutions

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

sec (x) = 1.86798

2 tan^{2} (x) - 7 sec (x) + 5 = 0

cos (θ) = - \frac{3}{7}

\frac{1}{tan ( x )} + \frac{cos ^{2} ( x )}{sin ( x )} = 0

1 sin (2 5^{\circ}) = 1.506 sin (x)

What is the general solution for 2(1-cos^2(x))=1+cos(x) ?
The general solution for 2(1-cos^2(x))=1+cos(x) is x=pi+2pin,x= pi/3+2pin,x=(5pi)/3+2pin