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

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

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

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

x = \frac{π}{4} + πn, x = \frac{π}{3} + πn

Solution steps

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

Solving each part separately

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

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

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

Combine all the solutions

x = \frac{π}{4} + πn, x = \frac{π}{3} + πn

2 sin^{2} (w) - sin (w) - 1 = 0

3 sin (x) = 7 cos (x)

8 sin (θ) - 3 = 0

cos^{2} (4 x) - sin^{2} (4 x) = cos (b)

y, sin (x + y) + sin (y + z) + sin (x + z) = 0

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