What is the general solution for cos(θ)= 1/8 ?

The general solution for cos(θ)= 1/8 is θ=1.44546…+2pin,θ=2pi-1.44546…+2pin

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cos(θ)= 1/8

cos (θ) = \frac{1}{8}

θ = 1.44546 \dots + 2 πn, θ = 2 π - 1.44546 \dots + 2 πn

Solution steps

cos (θ) = \frac{1}{8}

Apply trig inverse properties

θ = arccos (\frac{1}{8}) + 2 πn, θ = 2 π - arccos (\frac{1}{8}) + 2 πn

Show solutions in decimal form

θ = 1.44546 \dots + 2 πn, θ = 2 π - 1.44546 \dots + 2 πn

2 tan^{2} (x) = 3 sec (x), 0 \leq x \leq 2 π

2 tan^{2} (x) + tan (x) = 0

2 sin (2 x) = 3

sin (θ) = \frac{4}{5}, cos (2 θ), 90 \leq θ < 180

2 cos (x) = 1, 0, 36 0^{\circ}

What is the general solution for cos(θ)= 1/8 ?
The general solution for cos(θ)= 1/8 is θ=1.44546…+2pin,θ=2pi-1.44546…+2pin