What is the general solution for cos(x)+1/2 =0 ?

The general solution for cos(x)+1/2 =0 is x=(2pi)/3+2pin,x=(4pi)/3+2pin

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cos(x)+1/2 =0

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

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

Solution steps

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

Move

\frac{1}{2}

to the right side

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

General solutions for

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

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

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

sin (x) - 2 sin^{2} (x) = 0

sin (2 θ) + sin (θ) = 0, 0 \leq θ < 2 π

7 sin (x) = cos (x) - 4

5 sin^{2} (θ) - 11 sin (θ) + 2 = 0

What is the general solution for cos(x)+1/2 =0 ?
The general solution for cos(x)+1/2 =0 is x=(2pi)/3+2pin,x=(4pi)/3+2pin