What is the general solution for cos(θ)= 1/7 ?

The general solution for cos(θ)= 1/7 is θ=1.42744…+2pin,θ=2pi-1.42744…+2pin

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cos(θ)= 1/7

cos (θ) = \frac{1}{7}

θ = 1.42744 \dots + 2 πn, θ = 2 π - 1.42744 \dots + 2 πn

Solution steps

cos (θ) = \frac{1}{7}

Apply trig inverse properties

θ = arccos (\frac{1}{7}) + 2 πn, θ = 2 π - arccos (\frac{1}{7}) + 2 πn

Show solutions in decimal form

θ = 1.42744 \dots + 2 πn, θ = 2 π - 1.42744 \dots + 2 πn

3 sin (2 x) + 3 cos (2 x) = 0

3 cos (θ) = 2 sin^{2} (θ)

sin (x) - sin (x) cos (x) = 0

\frac{6}{3} cos (x) = \frac{1}{2}

2 sin^{2} (θ) = - 3 sin (θ) - 1

What is the general solution for cos(θ)= 1/7 ?
The general solution for cos(θ)= 1/7 is θ=1.42744…+2pin,θ=2pi-1.42744…+2pin