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 the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

cos (9 x) = \frac{1}{2}

tan (2 θ) = - 3, 0^{\circ} \leq θ \leq 36 0^{\circ}

0 = tan (c)

cos (t) - cos (2 t) = 0

4 sin (θ) = - 2 cos (θ)

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