What is the general solution for 4+4cos(θ)=-6cos(θ) ?

The general solution for 4+4cos(θ)=-6cos(θ) is θ=1.98231…+2pin,θ=-1.98231…+2pin

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4+4cos(θ)=-6cos(θ)

4 + 4 cos (θ) = - 6 cos (θ)

θ = 1.98231 \dots + 2 πn, θ = - 1.98231 \dots + 2 πn

Solution steps

4 + 4 cos (θ) = - 6 cos (θ)

Solve by substitution

cos (θ) = - \frac{2}{5}

cos (θ) = - \frac{2}{5} : θ = arccos (- \frac{2}{5}) + 2 πn, θ = - arccos (- \frac{2}{5}) + 2 πn

Combine all the solutions

θ = arccos (- \frac{2}{5}) + 2 πn, θ = - arccos (- \frac{2}{5}) + 2 πn

Show solutions in decimal form

θ = 1.98231 \dots + 2 πn, θ = - 1.98231 \dots + 2 πn

- \frac{1}{2} + (cos (x))^{2} + (cos (\frac{x}{2}))^{2} = 0

cos (θ) = cos (2 θ)

tan (3 x) = cot (2 x)

sin (z) = - 2

3 sin^{2} (x) + 4 cos (x) = 4

What is the general solution for 4+4cos(θ)=-6cos(θ) ?
The general solution for 4+4cos(θ)=-6cos(θ) is θ=1.98231…+2pin,θ=-1.98231…+2pin