thewelchfour thewelchfour
  • 27-07-2017
  • Mathematics
contestada

Find all solutions in the interval [0, 2π). 7 tan^3x - 21 tan x = 0

Respuesta :

barnuts
barnuts barnuts
  • 07-08-2017

To solve this problem, the first thing we can do is to take out 7 tan (x) from the whole equation, this results in simplification:

7 * tan (x) * (tan (x)^2 - 3) = 0 

Therefore the initial roots are taken from:

tan (x) = 0

Calculating for x:

x = 0, pi

 

The other roots can be taken from:

(tan (x)^2 - 3) = 0 

Calculating for x:

tan (x)^2 = 3

tan (x) = ± sqrt (3)  

x = pi/3 , 2pi/3 , 4pi/3 , 5pi/3 

 

Therefore the solutions are:

0 , pi, pi/3 , 2pi/3 , 4pi/3 , 5pi/3 

Answer Link

Otras preguntas

Estimate the sum of 6416,5734, and 4912 to the nearest thousand
Type of democracy where citizens elect leaders to represent them in government
In what ways were the mycenaeans different from the minoans
Explain why neon is monatomic but chlorine is diatomic.
DNA content in a cell is measured in picograms (pg) (what ever that is) . A sea star has 17/20 pg of DNA a scallop cell has 19/20pg, a red water mite cell has 0
martin luther king jr. achievements?
how have energy resources shaped the economy and the standard of living of the united states?
What key function does the atmosphere serve that enables life to exist on the planet?
Whats bigger im so confused math is hard order from greatest to least 2/3 0.67 5/9 0.58 7/12.   Thanks
Estimate the sum of 6416,5734, and 4912 to the nearest thousand