What is the general solution for cos(x)=(-1)/3 ?

The general solution for cos(x)=(-1)/3 is x=1.91063…+2pin,x=-1.91063…+2pin

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cos(x)=(-1)/3

cos (x) = \frac{- 1}{3}

x = 1.91063 \dots + 2 πn, x = - 1.91063 \dots + 2 πn

Solution steps

cos (x) = \frac{- 1}{3}

Apply the fraction rule:

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

cos (x) = - \frac{1}{3}

Apply trig inverse properties

x = arccos (- \frac{1}{3}) + 2 πn, x = - arccos (- \frac{1}{3}) + 2 πn

Show solutions in decimal form

x = 1.91063 \dots + 2 πn, x = - 1.91063 \dots + 2 πn

sin (x) cos (x) = 2 cos (x)

tan^{2} (x) + 5 tan (x) + 6 = 0

cos^{4} (x) - sin^{4} (x) = 1

4 sec^{2} (x) tan (x) = 8 tan (x)

sin (x) (sin (x) - 1) = 0

What is the general solution for cos(x)=(-1)/3 ?
The general solution for cos(x)=(-1)/3 is x=1.91063…+2pin,x=-1.91063…+2pin