What is the general solution for cos(θ)= 5/9 ?

The general solution for cos(θ)= 5/9 is θ=0.98176…+2pin,θ=2pi-0.98176…+2pin

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cos(θ)= 5/9

cos (θ) = \frac{5}{9}

θ = 0.98176 \dots + 2 πn, θ = 2 π - 0.98176 \dots + 2 πn

Solution steps

cos (θ) = \frac{5}{9}

Apply trig inverse properties

θ = arccos (\frac{5}{9}) + 2 πn, θ = 2 π - arccos (\frac{5}{9}) + 2 πn

Show solutions in decimal form

θ = 0.98176 \dots + 2 πn, θ = 2 π - 0.98176 \dots + 2 πn

sin^{2} (x) = 5 (cos (x) + 1)

tan (2 x - \frac{π}{6}) = - \frac{1}{3}

4 cos^{2} (2 x) - 2 = 0

tan (θ) = \frac{9}{12}

tan (a) = \frac{20}{21}

What is the general solution for cos(θ)= 5/9 ?
The general solution for cos(θ)= 5/9 is θ=0.98176…+2pin,θ=2pi-0.98176…+2pin