What is the general solution for cos(x)=(sqrt(2))/3 ?

The general solution for cos(x)=(sqrt(2))/3 is x=1.07991…+2pin,x=2pi-1.07991…+2pin

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cos(x)=(sqrt(2))/3

cos (x) = \frac{2}{3}

x = 1.07991 \dots + 2 πn, x = 2 π - 1.07991 \dots + 2 πn

Solution steps

cos (x) = \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 = 1.07991 \dots + 2 πn, x = 2 π - 1.07991 \dots + 2 πn

4 sin (θ) + 5 = 7

6 arcsin (x) = π

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

sin (6 x) + sin (x) = 0

30 arcsin (x) = 5 π

What is the general solution for cos(x)=(sqrt(2))/3 ?
The general solution for cos(x)=(sqrt(2))/3 is x=1.07991…+2pin,x=2pi-1.07991…+2pin