SOLUTION: Explain why the equations tan x = 1/3 and cos x =1/3 each have two solutions in the interval [0, 2π), even though the period of y = tan x is π and the period of y = c

Algebra.Com
Question 1032521: Explain why the equations tan x = 1/3
and cos x =1/3
each have two solutions
in the interval [0, 2π), even though the period of y = tan x is π and the period
of y = cos x is 2π
Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.
The question is posed INCORRECTLY.

The question "why" is not applicable in this case. It doesn't make sense. 

OK. Let the John's family has two children, and Collins' family has two children.


Now an inspector comes and ask "Why John's family has two children and Collins' family has two children?"


Does it make sense? Does this question makes sense? Does this "why" makes sense?


Same is with the question to this problem.


RELATED QUESTIONS

Find all solutions in the interval [0, 2π) (increasing order) for the equation... (answered by stanbon)
Find all solutions of each of the equations in the interval [0,2pi). a)... (answered by KMST)
Approximate the solutions of 3 tan^2 x + 4 tan x − 4 = 0 in the interval [0,... (answered by Fombitz)
(2/√3)cos 3θ = 1 Find the solutions in the interval [0,... (answered by lwsshak3)
Determine the two not given function values in the triple cos(x), sin(x), tan(x)... (answered by stanbon)
Solve the following equations given that: 0 ≤ x < 2π (a)... (answered by Alan3354)
Find the remaining trigonometric ratios. cos(x) = - 1/3, π < x < 3π/2 sin (answered by Edwin McCravy)
Solve the equation for exact solutions over the interval [0, 2π). cos^2 x + 2 cos (answered by ikleyn)
Solve the cos x-1 =0 on the interval 0≤x≤pi/2 x+ π/3 x=0 x=π/6... (answered by richard1234)