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

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

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cos(θ)=(2sqrt(2))/3

cos (θ) = \frac{2 2}{3}

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

Degrees

θ = 19.47122 \dots^{\circ} + 36 0^{\circ} n, θ = 340.52877 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{2 2}{3}

Apply trig inverse properties

cos (θ) = \frac{2 2}{3}

General solutions for

cos (θ) = \frac{2 2}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

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

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

Show solutions in decimal form

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

2 cos (x) - 2 sin (x) = - 3

cos^{4} (x) = 1

8 cos (2 x) = 8 cos (x) - 9

tan (x) = \frac{2}{1}

x, sin^{2} (x) = \frac{9 m - 8}{2}

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