What is the general solution for cos(θ)=0.25 ?

The general solution for cos(θ)=0.25 is θ=1.31811…+2pin,θ=2pi-1.31811…+2pin

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cos(θ)=0.25

cos (θ) = 0.25

θ = 1.31811 \dots + 2 πn, θ = 2 π - 1.31811 \dots + 2 πn

Solution steps

cos (θ) = 0.25

Apply trig inverse properties

θ = arccos (0.25) + 2 πn, θ = 2 π - arccos (0.25) + 2 πn

Show solutions in decimal form

θ = 1.31811 \dots + 2 πn, θ = 2 π - 1.31811 \dots + 2 πn

3 sec^{2} (x) + 2 tan^{2} (x) = 2

1 + cos (θ) = 3 sin (θ)

tan (θ) = \frac{3}{10}

tan (θ) = - \frac{2}{9}

arctan (y) = \frac{π}{4}

What is the general solution for cos(θ)=0.25 ?
The general solution for cos(θ)=0.25 is θ=1.31811…+2pin,θ=2pi-1.31811…+2pin