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

Solution steps

3 tan (x) + 4 = 0

Move

4

to the right side

3 tan (x) = - 4

Divide both sides by

3

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

Apply trig inverse properties

x = arctan (- \frac{4}{3}) + πn

Show solutions in decimal form

x = - 0.92729 \dots + πn

x, sin (x) = - \frac{3}{2}

\frac{7 π}{2} = 7 - 3 sin (x)

- 10 sin (y) = 0

4 cos^{2} (x) + 2 sin (x) = 3

sin (x) = sin (2 x), 0 \leq x \leq 2 π

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