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

The general solution for cos(θ)=(sqrt(3))/3 is θ=0.95531…+2pin,θ=2pi-0.95531…+2pin

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cos(θ)=(sqrt(3))/3

cos (θ) = \frac{3}{3}

θ = 0.95531 \dots + 2 πn, θ = 2 π - 0.95531 \dots + 2 πn

Degrees

θ = 54.73561 \dots^{\circ} + 36 0^{\circ} n, θ = 305.26438 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{3}{3}

Apply trig inverse properties

cos (θ) = \frac{3}{3}

General solutions for

cos (θ) = \frac{3}{3}

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

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

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

Show solutions in decimal form

θ = 0.95531 \dots + 2 πn, θ = 2 π - 0.95531 \dots + 2 πn

arctan (x + 1) + arctan (x - 1) = arctan (2)

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

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

cos^{3} (x) + cos^{2} (x) - cos (x) = 1

6 sin (2 x) sin (x) = 6 cos (x)

What is the general solution for cos(θ)=(sqrt(3))/3 ?
The general solution for cos(θ)=(sqrt(3))/3 is θ=0.95531…+2pin,θ=2pi-0.95531…+2pin