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

Solution steps

cos (θ) = - \frac{2}{7}

Apply trig inverse properties

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

x, 2 sin^{2} (x) + 3 cos (x) - 3 = 0

cos (x) = - \frac{7}{14 5}

k, cos (k l) = 0

tan (2 x) = - \frac{- 270 - 120}{130}

3 tan (x + 4 3^{\circ}) = 2 cos (x + 4 3^{\circ})

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