What is the general solution for sec(4x)-2/(sqrt(3))=0 ?

The general solution for sec(4x)-2/(sqrt(3))=0 is x= pi/(24)+(pin)/2 ,x=(11pi}{24}+\frac{pin)/2

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sec(4x)-2/(sqrt(3))=0

sec (4 x) - \frac{2}{3} = 0

x = \frac{π}{24} + \frac{πn}{2}, x = \frac{11 π}{24} + \frac{πn}{2}

Solution steps

sec (4 x) - \frac{2}{3} = 0

Move

\frac{2}{3}

to the right side

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

General solutions for

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

4 x = \frac{π}{6} + 2 πn, 4 x = \frac{11 π}{6} + 2 πn

Solve

4 x = \frac{π}{6} + 2 πn : x = \frac{π}{24} + \frac{πn}{2}

Solve

4 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{24} + \frac{πn}{2}

x = \frac{π}{24} + \frac{πn}{2}, x = \frac{11 π}{24} + \frac{πn}{2}

cos (θ) = 0.3, cos (2 θ)

(- \frac{2}{3})^{2} + 1 = sec (θ)

1 = sech^{2} (x)

tan (θ) = 0.86667

sin (x) \cdot cos^{2} (x) = 1

What is the general solution for sec(4x)-2/(sqrt(3))=0 ?
The general solution for sec(4x)-2/(sqrt(3))=0 is x= pi/(24)+(pin)/2 ,x=(11pi}{24}+\frac{pin)/2