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

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

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

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

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

Solution steps

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

Solving each part separately

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

cot (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

2 sin (x) cos (x) + cos (x) = 0, 0 \leq x \leq 2 π

a, sin (2 a) + 1 = 0.5

\frac{( sin ( 5 x ) )}{( - 1 cos ( 5 x ) )} = 0

sin (x) = cos (4 0^{\circ})

tan (x) = \frac{2.5}{2}

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