Find all solutions in the interval [0, 2π]
-$7 \tan ^ { 3 } x - 21 \tan x = 0$
A) $\frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }$
B) $0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }$
C) $0 , \frac { \pi } { 5 } , \pi , \frac { 6 \pi } { 5 }$
D) $0 , \frac { \pi } { 3 } , \pi , \frac { 4 \pi } { 3 }$

Question

Quizplus · Accepted Answer

Factor the equation to $7\tan x(\tan^2 x - 3) = 0$, giving solutions for $\tan x = 0$ and $\tan^2 x = 3$. $\tan x = 0$ at $x = 0, \pi$, and $\tan^2 x = 3$ gives solutions at $x = \frac{\pi}{3}, \frac{2\pi}{3}, \frac{4\pi}{3}, \frac{5\pi}{3}$.

Find All Solutions in the Interval [0, 2π] - 7tan⁡3x−21tan⁡x=07 \tan ^ { 3 } x - 21 \tan x = 07tan3x−21tanx=0

Find All Solutions in the Interval [0, 2π]
- $7 \tan ^ { 3 } x - 21 \tan x = 0$