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

The general solution for cos(θ)= 2/3 is θ=0.84106…+2pin,θ=2pi-0.84106…+2pin

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cos(θ)= 2/3

cos (θ) = \frac{2}{3}

θ = 0.84106 \dots + 2 πn, θ = 2 π - 0.84106 \dots + 2 πn

Solution steps

cos (θ) = \frac{2}{3}

Apply trig inverse properties

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

Show solutions in decimal form

θ = 0.84106 \dots + 2 πn, θ = 2 π - 0.84106 \dots + 2 πn

0 = cos (x)

tan (θ) = 3

sin (x) = \frac{5}{13}

2 sin (θ) = 3

2 sin^{2} (x) - sin (x) = 0

What is the general solution for cos(θ)= 2/3 ?
The general solution for cos(θ)= 2/3 is θ=0.84106…+2pin,θ=2pi-0.84106…+2pin