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

The general solution for sec(3x)=-(2sqrt(3))/3 is x=(5pi}{18}+(2pin)/3 ,x=(7pi)/(18)+\frac{2pin)/3

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sec(3x)=-(2sqrt(3))/3

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

x = \frac{5 π}{18} + \frac{2 πn}{3}, x = \frac{7 π}{18} + \frac{2 πn}{3}

Solution steps

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

General solutions for

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

3 x = \frac{5 π}{6} + 2 πn, 3 x = \frac{7 π}{6} + 2 πn

Solve

3 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{18} + \frac{2 πn}{3}

Solve

3 x = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{18} + \frac{2 πn}{3}

x = \frac{5 π}{18} + \frac{2 πn}{3}, x = \frac{7 π}{18} + \frac{2 πn}{3}

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

2 cos (3 θ) = 0

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

2 sin^{4} (x) - cos^{2} (x) = 0

sin (b) = 0.4809

What is the general solution for sec(3x)=-(2sqrt(3))/3 ?
The general solution for sec(3x)=-(2sqrt(3))/3 is x=(5pi}{18}+(2pin)/3 ,x=(7pi)/(18)+\frac{2pin)/3