What is the general solution for sqrt(3)sec(x)=-2 ?

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

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sqrt(3)sec(x)=-2

3 sec (x) = - 2

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

Solution steps

3 sec (x) = - 2

Divide both sides by

3

sec (x) = - \frac{2 3}{3}

General solutions for

sec (x) = - \frac{2 3}{3}

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

sec^{2} (x) = \frac{4}{3}

sin (θ) = \frac{3}{4}

3 tan (x) = 3

sin^{2} (θ) = \frac{1}{2}

1 + cos (θ) = 1 - sin (θ)

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