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=(5pi)/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{5 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{5 π}{6} + πn

Combine all the solutions

x = \frac{π}{4} + πn, x = \frac{5 π}{6} + πn

cos (2 θ - \frac{π}{2}) = \frac{2}{2}

tan^{3} (x) + tan^{2} (x) - 3 tan (x) = 3

cos (x) = \frac{7}{9}

2 csc (x) + 3 = 0

sin (- x) = \frac{2}{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=(5pi)/6+pin