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

The general solution for cos(x)+1=-cos(x) is x=(2pi)/3+2pin,x=(4pi)/3+2pin

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

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

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

Solution steps

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

Solve by substitution

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

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

sin (2 θ) = - 1

sin^{2} (x) = \frac{3}{4}

2 sin (θ) = 1

cos (θ) = 0.7

2 cos (5 x) - 1 = 0

What is the general solution for cos(x)+1=-cos(x) ?
The general solution for cos(x)+1=-cos(x) is x=(2pi)/3+2pin,x=(4pi)/3+2pin