SOLUTION: 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.)
9 tan ^3 x = 3 tan x
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-> SOLUTION: 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.)
9 tan ^3 x = 3 tan x
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Question 1078893: 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.)
9 tan ^3 x = 3 tan x Answer by ikleyn(52897) (Show Source):
You can put this solution on YOUR website! .
Find all solutions of the equation in the interval [0, 2π).
9 tan ^3 x = 3 tan x
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= --->
= ---> Factor the left side
=
This equation deploys in two independent equations
1. tan(x) = 0 with the solutions x = and x = in the given interval.
2. 3*tan^2(x) - 1 = 0 <----> = ----> tan(x) = +/-, which has four solutions in the given interval
x = , x = , x = and x = .
Answer. The given equation has 6 solutions in the given interval:
x = 0, x = x = , x = , x = and x = .
