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

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

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solvefor θ,cos(θ)= 2/3

solve for

θ, 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

x, arcsin (x) = arccos (y)

sin (x) = \frac{4.9}{7.5}

\frac{1}{cos ( x )} + sec^{2} (x) - 1 - cos (x) = 0

(sin (x) + cos (x))^{2} = 0

(sin (x) + cos (x))^{2} = 2

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