What is the general solution for cos(x)= 2/(sqrt(6)) ?

The general solution for cos(x)= 2/(sqrt(6)) is x=0.61547…+2pin,x=2pi-0.61547…+2pin

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cos(x)= 2/(sqrt(6))

cos (x) = \frac{2}{6}

x = 0.61547 \dots + 2 πn, x = 2 π - 0.61547 \dots + 2 πn

Solution steps

cos (x) = \frac{2}{6}

Simplify

\frac{2}{6} : \frac{2}{3}

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.61547 \dots + 2 πn, x = 2 π - 0.61547 \dots + 2 πn

16 sin^{2} (x) = 9

tan (x) - cos (x) = 0

- 8 \cdot sin (0.784 + x) = 0

6 sin^{2} (x) + 5 sin (x) + 1 = 0

3 tan^{2} (x) + 3 tan (x) = 0

What is the general solution for cos(x)= 2/(sqrt(6)) ?
The general solution for cos(x)= 2/(sqrt(6)) is x=0.61547…+2pin,x=2pi-0.61547…+2pin