What is the general solution for cos(θ)=0.139 ?

The general solution for cos(θ)=0.139 is θ=1.43134…+2pin,θ=2pi-1.43134…+2pin

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cos(θ)=0.139

cos (θ) = 0.139

θ = 1.43134 \dots + 2 πn, θ = 2 π - 1.43134 \dots + 2 πn

Degrees

θ = 82.01001 \dots^{\circ} + 36 0^{\circ} n, θ = 277.98998 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.139

Apply trig inverse properties

cos (θ) = 0.139

General solutions for

cos (θ) = 0.139

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

θ = arccos (0.139) + 2 πn, θ = 2 π - arccos (0.139) + 2 πn

θ = arccos (0.139) + 2 πn, θ = 2 π - arccos (0.139) + 2 πn

Show solutions in decimal form

θ = 1.43134 \dots + 2 πn, θ = 2 π - 1.43134 \dots + 2 πn

What is the general solution for cos(θ)=0.139 ?
The general solution for cos(θ)=0.139 is θ=1.43134…+2pin,θ=2pi-1.43134…+2pin