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

The general solution for sec(2x)=-(2/(sqrt(3))) is x=(5pi)/(12)+pin,x=(7pi)/(12)+pin

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

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

x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn

Solution steps

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

Simplify

- \frac{2}{3} : - \frac{2 3}{3}

General solutions for

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

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

Solve

2 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{12} + πn

Solve

2 x = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{12} + πn

x = \frac{5 π}{12} + πn, x = \frac{7 π}{12} + πn

\frac{e ^{- l n (- \frac{s i n ( θ )}{c o s ( θ )})}}{2} \cdot sin (θ) = 0

7 sin (2 x) + 12 sin (x) = 0

x, cos (x) = cos (2 x)

cos (x) = 0.50074242

2 sin (4 x) - 1 = 0, - 2 π \leq x \leq 3 π

What is the general solution for sec(2x)=-(2/(sqrt(3))) ?
The general solution for sec(2x)=-(2/(sqrt(3))) is x=(5pi)/(12)+pin,x=(7pi)/(12)+pin