What is the general solution for 3sqrt(3)sec(θ)+4=-2 ?

The general solution for 3sqrt(3)sec(θ)+4=-2 is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin

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3sqrt(3)sec(θ)+4=-2

33 sec (θ) + 4 = - 2

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

Solution steps

33 sec (θ) + 4 = - 2

Move

4

to the right side

33 sec (θ) = - 6

Divide both sides by

33

sec (θ) = - \frac{2 3}{3}

General solutions for

sec (θ) = - \frac{2 3}{3}

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

- sin (\frac{x}{2}) + sin (x) = 0

3 sin (2 θ) = 2 cos (2 θ)

cos (x) + cos^{2} (x) = 0

cos (θ) = cos (1)

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

What is the general solution for 3sqrt(3)sec(θ)+4=-2 ?
The general solution for 3sqrt(3)sec(θ)+4=-2 is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin