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

Degrees

x = 3 0^{\circ} + 36 0^{\circ} n, x = 33 0^{\circ} + 36 0^{\circ} n

Solution steps

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

General solutions for

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

sec (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

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

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

sin (5 x) = 0

2 cos (x) = - 3

cos (θ) = \frac{1}{3}

4 sin^{2} (x) = 3, 0 \leq x \leq 2 π

3 sin (x) + 1 = sin (x)

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