What is the general solution for cos(θ)= 1/(sqrt(21)) ?

The general solution for cos(θ)= 1/(sqrt(21)) is θ=1.35080…+2pin,θ=2pi-1.35080…+2pin

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cos(θ)= 1/(sqrt(21))

cos (θ) = \frac{1}{21}

θ = 1.35080 \dots + 2 πn, θ = 2 π - 1.35080 \dots + 2 πn

Solution steps

cos (θ) = \frac{1}{21}

Simplify

\frac{1}{21} : \frac{21}{21}

Apply trig inverse properties

θ = arccos (\frac{21}{21}) + 2 πn, θ = 2 π - arccos (\frac{21}{21}) + 2 πn

Show solutions in decimal form

θ = 1.35080 \dots + 2 πn, θ = 2 π - 1.35080 \dots + 2 πn

- \frac{1}{2} = cos (x)

3 sin (x) = sin (3 x)

tan (x) + 3 = 1 + 3 cot (x)

tan (u) - cot (u) = 2

sin (x) sin (x) = 0

What is the general solution for cos(θ)= 1/(sqrt(21)) ?
The general solution for cos(θ)= 1/(sqrt(21)) is θ=1.35080…+2pin,θ=2pi-1.35080…+2pin