What is the general solution for cos(θ)= 1/(sqrt(3)) ?

The general solution for cos(θ)= 1/(sqrt(3)) is θ=0.95531…+2pin,θ=2pi-0.95531…+2pin

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cos(θ)= 1/(sqrt(3))

cos (θ) = \frac{1}{3}

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

Solution steps

cos (θ) = \frac{1}{3}

Simplify

\frac{1}{3} : \frac{3}{3}

Apply trig inverse properties

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

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

4 csc (θ) - 5 = 3

csc (5 x) = - 1, 0 \leq x \leq 2 π

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

8 sin (θ) + 1 = 6 sin (θ)

What is the general solution for cos(θ)= 1/(sqrt(3)) ?
The general solution for cos(θ)= 1/(sqrt(3)) is θ=0.95531…+2pin,θ=2pi-0.95531…+2pin