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=(3pi)/4+pin,x=(5pi)/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{3 π}{4} + πn, x = \frac{5 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{3 π}{4} + πn

3 tan (x) + 1 = 0 : x = \frac{5 π}{6} + πn

Combine all the solutions

x = \frac{3 π}{4} + πn, x = \frac{5 π}{6} + πn

9 cos (2 θ) = 9 cos (θ)

6 sin (x) + 4 cos (x) = 0

cos (t) + sin (t) = 0

cos (C) = 0.87

4 cot (x) + 3 = - 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=(3pi)/4+pin,x=(5pi)/6+pin