What is the general solution for cos(θ)=(sqrt(5))/8 ?

The general solution for cos(θ)=(sqrt(5))/8 is θ=1.28751…+2pin,θ=2pi-1.28751…+2pin

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cos(θ)=(sqrt(5))/8

cos (θ) = \frac{5}{8}

θ = 1.28751 \dots + 2 πn, θ = 2 π - 1.28751 \dots + 2 πn

Solution steps

cos (θ) = \frac{5}{8}

Apply trig inverse properties

θ = arccos (\frac{5}{8}) + 2 πn, θ = 2 π - arccos (\frac{5}{8}) + 2 πn

Show solutions in decimal form

θ = 1.28751 \dots + 2 πn, θ = 2 π - 1.28751 \dots + 2 πn

cos (\frac{π}{2} + x) - cos (\frac{π}{2} - x) = - 3

tan (x) = 2.142

3 cos (θ) = - 2

sin (x) = \frac{20}{38.59}

sec (A) = 5.29411

What is the general solution for cos(θ)=(sqrt(5))/8 ?
The general solution for cos(θ)=(sqrt(5))/8 is θ=1.28751…+2pin,θ=2pi-1.28751…+2pin