Mathematics, 30.01.2020 17:44 soccerjessie6846
15 tan^3 x=5 tan x find all solutions of the equation in the interval [0, 2π). (enter your answers as a comma-separated list. if there is no solution, enter no solution.)
Answers: 1
![\bf 15tan^3(x)=5tan(x)\implies 3tan^3(x)=tan(x) \\\\\\ 3tan^3(x)-tan(x)=0\implies tan(x)[3tan^2(x)-1]=0 \\\\\\ \begin{cases} tan(x)=0\\\\ \measuredangle x=0,\pi \\ ----------\\ 3tan^2(x)-1=0\\ tan^2(x)=\frac{1}{3}\\ tan(x)=\pm\sqrt{\frac{1}{3}}\\\\ tan(x)=\pm\frac{1}{\sqrt{3}}\\\\ \measuredangle x=\frac{\pi }{6}, \frac{5\pi }{6},\frac{7\pi }{6}, \frac{11\pi }{6} \end{cases}](/tpl/images/0486/6435/e829e.png)
Another question on Mathematics
Mathematics, 21.06.2019 18:40
Which compound inequality could be represented by the graph?
Answers: 1
Mathematics, 21.06.2019 21:00
Helena lost her marbles. but then she found them and put them in 44 bags with mm marbles in each bag. she had 33 marbles left over that didn't fit in the bags.
Answers: 3
Mathematics, 22.06.2019 02:00
Taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor with some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)= 2x+1 g(x)= 2x^2+1
Answers: 2
Mathematics, 22.06.2019 02:30
Solve the system of equations. 2x-2y=-4 and x+y=8. show work
Answers: 1
You know the right answer?
15 tan^3 x=5 tan x find all solutions of the equation in the interval [0, 2π). (enter your answers a...
Questions
History, 21.10.2019 22:00
Chemistry, 21.10.2019 22:00
Chemistry, 21.10.2019 22:00
Mathematics, 21.10.2019 22:00
Mathematics, 21.10.2019 22:00
English, 21.10.2019 22:00
Mathematics, 21.10.2019 22:00
Mathematics, 21.10.2019 22:00
