What is the general solution for cos(θ)=-3/7 ?

The general solution for cos(θ)=-3/7 is θ=2.01370…+2pin,θ=-2.01370…+2pin

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cos(θ)=-3/7

cos (θ) = - \frac{3}{7}

θ = 2.01370 \dots + 2 πn, θ = - 2.01370 \dots + 2 πn

Solution steps

cos (θ) = - \frac{3}{7}

Apply trig inverse properties

θ = arccos (- \frac{3}{7}) + 2 πn, θ = - arccos (- \frac{3}{7}) + 2 πn

Show solutions in decimal form

θ = 2.01370 \dots + 2 πn, θ = - 2.01370 \dots + 2 πn

tan (x) cos (x) = \frac{1}{2}

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

(tan (x) + 1) (3 tan (x) + 1) = 0

9 cos (2 θ) = 9 cos (θ)

6 sin (x) + 4 cos (x) = 0

What is the general solution for cos(θ)=-3/7 ?
The general solution for cos(θ)=-3/7 is θ=2.01370…+2pin,θ=-2.01370…+2pin