What is the general solution for sqrt(3)=-2cos(θ) ?

The general solution for sqrt(3)=-2cos(θ) is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin

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sqrt(3)=-2cos(θ)

3 = - 2 cos (θ)

θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

Solution steps

3 = - 2 cos (θ)

Switch sides

- 2 cos (θ) = 3

Divide both sides by

- 2

cos (θ) = - \frac{3}{2}

General solutions for

cos (θ) = - \frac{3}{2}

θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

4 sin (3 x) = 2

3 sin (4 x) = 23

7 cosh (x) - 3 sinh (x) = 11

2 sin^{2} (x) - 3 sin (x) = 1

tan (θ) = 0.3249

What is the general solution for sqrt(3)=-2cos(θ) ?
The general solution for sqrt(3)=-2cos(θ) is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin