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

The general solution for (tan(x)+3)(tan(x)+2)=0 is x=-1.24904…+pin,x=-1.10714…+pin

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

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

x = - 1.24904 \dots + πn, x = - 1.10714 \dots + πn

Solution steps

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

Solving each part separately

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

tan (x) + 3 = 0 : x = arctan (- 3) + πn

tan (x) + 2 = 0 : x = arctan (- 2) + πn

Combine all the solutions

x = arctan (- 3) + πn, x = arctan (- 2) + πn

Show solutions in decimal form

x = - 1.24904 \dots + πn, x = - 1.10714 \dots + πn

2 tan (θ) + 6 = 0

8 = 8 cos (3 θ)

sinh (2 x) = 0

cos^{2} (x) = \frac{1}{2} + \frac{1}{2} cos^{2} (x)

3 tan (x) = \frac{1}{cos ( x )}

What is the general solution for (tan(x)+3)(tan(x)+2)=0 ?
The general solution for (tan(x)+3)(tan(x)+2)=0 is x=-1.24904…+pin,x=-1.10714…+pin