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=(2pi)/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{2 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{2 π}{3} + πn

Combine all the solutions

x = \frac{3 π}{4} + πn, x = \frac{2 π}{3} + πn

4 cos^{2} (x) - 2 = 1

θ, x = r cos (θ)

1 + sec^{2} (x) = 3

2 cos (a) sin (a) - 4 cos (a) + 6 sin (a) - 12 = 0

cos (x) = \frac{83}{92}

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=(2pi)/3+pin