What is the general solution for (tan(x)+sqrt(3))(cos(x)+2)=0 ?

The general solution for (tan(x)+sqrt(3))(cos(x)+2)=0 is x=(2pi)/3+pin

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(tan(x)+sqrt(3))(cos(x)+2)=0

(tan (x) + 3) (cos (x) + 2) = 0

x = \frac{2 π}{3} + πn

Solution steps

(tan (x) + 3) (cos (x) + 2) = 0

Solving each part separately

tan (x) + 3 = 0 or cos (x) + 2 = 0

tan (x) + 3 = 0 : x = \frac{2 π}{3} + πn

cos (x) + 2 = 0 :

No Solution

Combine all the solutions

x = \frac{2 π}{3} + πn

x, cos (y) + sin (x) = 1

cot (x) + 5 csc (x) = 6

csc^{2} (x) = 1

1 - cos (x) = \frac{1}{2}

4 cos^{3} (x) = 4 cos (x)

What is the general solution for (tan(x)+sqrt(3))(cos(x)+2)=0 ?
The general solution for (tan(x)+sqrt(3))(cos(x)+2)=0 is x=(2pi)/3+pin