What is the general solution for cos(x)=-(sqrt(3))/3 ?

The general solution for cos(x)=-(sqrt(3))/3 is x=2.18627…+2pin,x=-2.18627…+2pin

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cos(x)=-(sqrt(3))/3

cos (x) = - \frac{3}{3}

x = 2.18627 \dots + 2 πn, x = - 2.18627 \dots + 2 πn

Solution steps

cos (x) = - \frac{3}{3}

Apply trig inverse properties

x = arccos (- \frac{3}{3}) + 2 πn, x = - arccos (- \frac{3}{3}) + 2 πn

Show solutions in decimal form

x = 2.18627 \dots + 2 πn, x = - 2.18627 \dots + 2 πn

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

θ, 2 cos (θ) + 1 = 0

- 4 + tan (θ) = \frac{- 12 - 3}{3}

2 cos^{2} (x) - 3 = 0

2 sin (x) + 3 tan (x) = 0

What is the general solution for cos(x)=-(sqrt(3))/3 ?
The general solution for cos(x)=-(sqrt(3))/3 is x=2.18627…+2pin,x=-2.18627…+2pin