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

The general solution for cos(x)=sqrt(2/3) is x=0.61547…+2pin,x=2pi-0.61547…+2pin

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cos(x)=sqrt(2/3)

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

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

(sec (3 x) - 2) (tan (2 x) - 1) = 0

cos (2 x) \cdot 2 - 2 cos (x) = 0

- 2 sin (2 x) = \frac{π}{12}

cos (x) = \frac{sec ( x )}{4}

sin (10 x) = sin (10 (x + 1))

What is the general solution for cos(x)=sqrt(2/3) ?
The general solution for cos(x)=sqrt(2/3) is x=0.61547…+2pin,x=2pi-0.61547…+2pin