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=(3pi)/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{3 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{3 π}{4} + πn

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

Combine all the solutions

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

x, p + 3 q = z + cot (y - 3 x)

4 sin (x) cos (x) = 0

sin (2 x) sin (x) = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

cot^{2} (x) = csc (x) + 1

cos (x) - sin (x) = 0.5

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=(3pi)/4+pin,x= pi/3+pin