What is the general solution for cos(x)=(sqrt(8))/3 ?

The general solution for cos(x)=(sqrt(8))/3 is x=0.33983…+2pin,x=2pi-0.33983…+2pin

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cos(x)=(sqrt(8))/3

cos (x) = \frac{8}{3}

x = 0.33983 \dots + 2 πn, x = 2 π - 0.33983 \dots + 2 πn

Solution steps

cos (x) = \frac{8}{3}

8 = 22

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

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.33983 \dots + 2 πn, x = 2 π - 0.33983 \dots + 2 πn

arctan (θ) = \frac{6}{8}

4 cos^{2} (x) - 7 cos (x) + 3 = 0

tan (θ) = \frac{- \frac{4}{3} - ( - \frac{11}{3} )}{1 + ( - \frac{4}{3} ) ( - \frac{11}{3} )}

8 + 2 cot (x) = 12

(1 + cot (p)) tan (p) = 3

What is the general solution for cos(x)=(sqrt(8))/3 ?
The general solution for cos(x)=(sqrt(8))/3 is x=0.33983…+2pin,x=2pi-0.33983…+2pin