What is the general solution for cos(x)= 1/(sqrt(6)) ?

The general solution for cos(x)= 1/(sqrt(6)) is x=1.15026…+2pin,x=2pi-1.15026…+2pin

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cos(x)= 1/(sqrt(6))

cos (x) = \frac{1}{6}

x = 1.15026 \dots + 2 πn, x = 2 π - 1.15026 \dots + 2 πn

Solution steps

cos (x) = \frac{1}{6}

Simplify

\frac{1}{6} : \frac{6}{6}

Apply trig inverse properties

x = arccos (\frac{6}{6}) + 2 πn, x = 2 π - arccos (\frac{6}{6}) + 2 πn

Show solutions in decimal form

x = 1.15026 \dots + 2 πn, x = 2 π - 1.15026 \dots + 2 πn

2 cos^{2} (θ) + 9 cos (θ) + 4 = 0

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

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

sin (x^{2}) = \frac{1}{2}

0 = 4 - sec^{2} (x)

What is the general solution for cos(x)= 1/(sqrt(6)) ?
The general solution for cos(x)= 1/(sqrt(6)) is x=1.15026…+2pin,x=2pi-1.15026…+2pin