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

The general solution for sec(x)=((2sqrt(3)))/3 is x= pi/6+2pin,x=(11pi)/6+2pin

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

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

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

Solution steps

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

General solutions for

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

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

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

- sin (2 θ) + 2 cos (θ) = 0

2 sin (x) + 2 cos (x) = 1

2 cos (2 x) + 1 + 4 sin (x) = 0

tan (x) = - 1, tan (π + x) = y

What is the general solution for sec(x)=((2sqrt(3)))/3 ?
The general solution for sec(x)=((2sqrt(3)))/3 is x= pi/6+2pin,x=(11pi)/6+2pin