What is the general solution for cos(θ)=-0.866 ?

The general solution for cos(θ)=-0.866 is θ=2.61794…+2pin,θ=-2.61794…+2pin

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cos(θ)=-0.866

cos (θ) = - 0.866

θ = 2.61794 \dots + 2 πn, θ = - 2.61794 \dots + 2 πn

Solution steps

cos (θ) = - 0.866

Apply trig inverse properties

θ = arccos (- 0.866) + 2 πn, θ = - arccos (- 0.866) + 2 πn

Show solutions in decimal form

θ = 2.61794 \dots + 2 πn, θ = - 2.61794 \dots + 2 πn

cos (θ) = \frac{2 5}{19}

3 csc (θ) + csc (θ) cot (θ) = 0

tan (x) (cot (x) + 1) = 0

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

cos (2 x) (cos (2 x) - 3) = 0

What is the general solution for cos(θ)=-0.866 ?
The general solution for cos(θ)=-0.866 is θ=2.61794…+2pin,θ=-2.61794…+2pin