What is the general solution for (sqrt(3)tan(x)-1)(tan(x)-sqrt(3))=0 ?

The general solution for (sqrt(3)tan(x)-1)(tan(x)-sqrt(3))=0 is x= pi/6+pin,x= pi/3+pin

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(sqrt(3)tan(x)-1)(tan(x)-sqrt(3))=0

(3 tan (x) - 1) (tan (x) - 3) = 0

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn

Solution steps

(3 tan (x) - 1) (tan (x) - 3) = 0

Solving each part separately

3 tan (x) - 1 = 0 or tan (x) - 3 = 0

3 tan (x) - 1 = 0 : x = \frac{π}{6} + πn

tan (x) - 3 = 0 : x = \frac{π}{3} + πn

Combine all the solutions

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn

sin (X) = \frac{2}{2}

x, 2 + sin (x) = 0

cosh (\frac{zz}{2}) = 0

t, 2 cos (t) = x

cos^{4} (x) = 1 - sin^{4} (x)

What is the general solution for (sqrt(3)tan(x)-1)(tan(x)-sqrt(3))=0 ?
The general solution for (sqrt(3)tan(x)-1)(tan(x)-sqrt(3))=0 is x= pi/6+pin,x= pi/3+pin