What is the general solution for cos(θ)= 2/5 ?

The general solution for cos(θ)= 2/5 is θ=1.15927…+2pin,θ=2pi-1.15927…+2pin

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cos(θ)= 2/5

cos (θ) = \frac{2}{5}

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

Solution steps

cos (θ) = \frac{2}{5}

Apply trig inverse properties

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

Show solutions in decimal form

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

2 cos^{2} (x) = cos (x)

sin (y) = 0

10 sin^{2} (x) = 10 + 5 cos (x)

tan (θ) = \frac{3}{2}

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

What is the general solution for cos(θ)= 2/5 ?
The general solution for cos(θ)= 2/5 is θ=1.15927…+2pin,θ=2pi-1.15927…+2pin