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

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

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tan(x)+2=0

tan (x) + 2 = 0

x = - 1.10714 \dots + πn

Degrees

x = - 63.43494 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) + 2 = 0

Move

2

to the right side

tan (x) + 2 = 0

Subtract

2

from both sides

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

Simplify

tan (x) = - 2

tan (x) = - 2

Apply trig inverse properties

tan (x) = - 2

General solutions for

tan (x) = - 2

tan (x) = - a \Rightarrow x = arctan (- a) + πn

x = arctan (- 2) + πn

x = arctan (- 2) + πn

Show solutions in decimal form

x = - 1.10714 \dots + πn

2 6^{2} = 1 3^{2} + 1 9^{2} - (13) (19) cos (J)

4 = sec^{2} (x)

tan (\frac{x}{2}) = 4

sec (x) sin (x) + sec (x) = 2 sec (x)

3 - sin (x) (4 + 6 sin (x)) = 0

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