What is the general solution for (sqrt(6))/3 cos(x)= 1/(sqrt(2)) ?

The general solution for (sqrt(6))/3 cos(x)= 1/(sqrt(2)) is x= pi/6+2pin,x=(11pi)/6+2pin

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(sqrt(6))/3 cos(x)= 1/(sqrt(2))

\frac{6}{3} cos (x) = \frac{1}{2}

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

Solution steps

\frac{6}{3} cos (x) = \frac{1}{2}

Multiply both sides by

3

6 cos (x) = \frac{3 2}{2}

Divide both sides by

6

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

General solutions for

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

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

2 sin^{2} (θ) = - 3 sin (θ) - 1

sin (x) = 1.9 cos (x)

tan^{2} (x) + 9 tan (x) + 1 = 0

sinh (t) = 0

9 sin (x) - 4 = 0

What is the general solution for (sqrt(6))/3 cos(x)= 1/(sqrt(2)) ?
The general solution for (sqrt(6))/3 cos(x)= 1/(sqrt(2)) is x= pi/6+2pin,x=(11pi)/6+2pin