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

The general solution for (tan(x)-1)(sqrt(3)tan(x)-1)=0 is x= pi/4+pin,x= pi/6+pin

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

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

x = \frac{π}{4} + πn, x = \frac{π}{6} + πn

Solution steps

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

Solving each part separately

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

tan (x) - 1 = 0 : x = \frac{π}{4} + πn

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

Combine all the solutions

x = \frac{π}{4} + πn, x = \frac{π}{6} + πn

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

2 sin (- 3 x - \frac{π}{4}) = 2, 0 \leq x \leq 2 π

9 sin^{2} (θ) - 9 sin (θ) - 2 = - 6 sin (θ)

5 cot (θ) + 3 = 0

cos (x) + 1 = 1

What is the general solution for (tan(x)-1)(sqrt(3)tan(x)-1)=0 ?
The general solution for (tan(x)-1)(sqrt(3)tan(x)-1)=0 is x= pi/4+pin,x= pi/6+pin