What is the general solution for cos(θ)=-2/7 ?

The general solution for cos(θ)=-2/7 is θ=1.86054…+2pin,θ=-1.86054…+2pin

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cos(θ)=-2/7

cos (θ) = - \frac{2}{7}

θ = 1.86054 \dots + 2 πn, θ = - 1.86054 \dots + 2 πn

Degrees

θ = 106.60154 \dots^{\circ} + 36 0^{\circ} n, θ = - 106.60154 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{2}{7}

Apply trig inverse properties

cos (θ) = - \frac{2}{7}

General solutions for

cos (θ) = - \frac{2}{7}

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

θ = arccos (- \frac{2}{7}) + 2 πn, θ = - arccos (- \frac{2}{7}) + 2 πn

θ = arccos (- \frac{2}{7}) + 2 πn, θ = - arccos (- \frac{2}{7}) + 2 πn

Show solutions in decimal form

θ = 1.86054 \dots + 2 πn, θ = - 1.86054 \dots + 2 πn

What is the general solution for cos(θ)=-2/7 ?
The general solution for cos(θ)=-2/7 is θ=1.86054…+2pin,θ=-1.86054…+2pin