Find all solutions in the interval [0, 2π).

7 tan3x - 21 tan x = 0

Question

Find all solutions in the interval [0, 2π).

7 tan3x - 21 tan x = 0

anonymous · Answer

First Find the General Solution

anonymous · Answer

tan x  = tan y

x = n pie + y

anonymous · Answer

is it  0, pi/3, a pi  and 4pi/3

anonymous · Answer

@Yahoo!

anonymous · Answer

@JakeV8  any idea

anonymous · Answer

I am confused by Yahoo's solution above, since it appears that zero must equal the stuff on the right, making n = 0.  If n = 0, then the whole thing is trivial... you've just determined x = x, which doesn't help you at all.

I can't explain the steps, but I believe the solution is supposed to be multiples of pi...

like x = pi, 2pi, 3pi, 4pi, etc...

you would want to write that with a variable, like x = n * pi

However, notice that your problem ONLY wants the solution inside the interval 0 to 2pi.

anonymous · Answer

Can you select more than one answer?  It looks like more than one solution exists in that interval...