What is the general solution for 3tan(x)+4=0 ?

The general solution for 3tan(x)+4=0 is x=-0.92729…+pin

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3tan(x)+4=0

3 tan (x) + 4 = 0

x = - 0.92729 \dots + πn

Degrees

x = - 53.13010 \dots^{\circ} + 18 0^{\circ} n

Solution steps

3 tan (x) + 4 = 0

Move

4

to the right side

3 tan (x) + 4 = 0

Subtract

4

from both sides

3 tan (x) + 4 - 4 = 0 - 4

Simplify

3 tan (x) = - 4

3 tan (x) = - 4

Divide both sides by

3

3 tan (x) = - 4

Divide both sides by

3

\frac{3 tan ( x )}{3} = \frac{- 4}{3}

Simplify

tan (x) = - \frac{4}{3}

tan (x) = - \frac{4}{3}

Apply trig inverse properties

tan (x) = - \frac{4}{3}

General solutions for

tan (x) = - \frac{4}{3}

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

x = arctan (- \frac{4}{3}) + πn

x = arctan (- \frac{4}{3}) + πn

Show solutions in decimal form

x = - 0.92729 \dots + πn

What is the general solution for 3tan(x)+4=0 ?
The general solution for 3tan(x)+4=0 is x=-0.92729…+pin