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.)
5 cos^3 x = 5 cos x
Algebra ->
Trigonometry-basics
-> 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.)
5 cos^3 x = 5 cos x
Log On
Question 920216: 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.)
5 cos^3 x = 5 cos x Found 2 solutions by ewatrrr, Alan3354:Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! interval [0, 2π ).
5 cos^3 x = 5 cos x
cos^2 x = 1
cos x = ±1
x = 0, x = π
.......
(cosx, sinx) Summary Unit Circle .
You can put this solution on YOUR website! 5 cos^3 x = 5 cos x
cos^3(x) = cos(x)
cos^3(x) - cos(x) = 0
cos(x)*(cos^2(x) - 1) = 0
cos(x) = 0
x = pi/2, 3pi/2
-----------
Add that to the other tutor's answers.
. 