What is the general solution for cos(x)=-0.5 ?

The general solution for cos(x)=-0.5 is x=(2pi)/3+2pin,x=(4pi)/3+2pin

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cos(x)=-0.5

cos (x) = - 0.5

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

Degrees

x = 12 0^{\circ} + 36 0^{\circ} n, x = 24 0^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - 0.5

General solutions for

cos (x) = - 0.5

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

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

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

3 sec^{2} (x) - 2 tan^{2} (x) = 4

sin (x) = \frac{1}{4}

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

sin (x + \frac{π}{3}) + sin (x - \frac{π}{3}) = 1

sec^{2} (x) = 4

What is the general solution for cos(x)=-0.5 ?
The general solution for cos(x)=-0.5 is x=(2pi)/3+2pin,x=(4pi)/3+2pin