how to solve equation 3tan^2x - 2tanx = 0 i wrote the steps so far but i dont know next http://bamboodock.wacom.com/doodler/a1734a20-e823-4a64-9bff-80ea08d8af33

Question

anonymous · Answer

Find tan^{-1}(2/3) now..

anonymous · Answer

Or you want to find general solution for this equation ??

anonymous · Answer

i tried but thers so many numbers coming out

anonymous · Answer

Like ..

anonymous · Answer

33.69006753

anonymous · Answer

This is one number only..

anonymous · Answer

So there will be two values of x:

0 and 33.7..

anonymous · Answer

why 0?

anonymous · Answer

from first one..

anonymous · Answer

tanx = 0 implies x = 0..

anonymous · Answer

im lost

anonymous · Answer

Do you have final answers with you for this one ??

alexwee123 · Answer

http://www.wolframalpha.com/input/?i=3tan%5E2x+-+2tanx+%3D+0

alexwee123 · Answer

you can always treat it as a quadratic to....

alexwee123 · Answer

too*

anonymous · Answer

yeah its 0, 33.7˚, 180˚, 213.7˚

anonymous · Answer

wait so tan^1(2/3) was 33.69.... i round it off to 33.7˚!!!!

anonymous · Answer

@lsugano this is called finding the general solution that is what I was asking to you..

anonymous · Answer

oh im sorry!! i ddnt know what general solution meant :((((

anonymous · Answer

For tanx = 0:

the general solution will be:

$$\large x = n \pi, n \in \mathbb {Z}$$

anonymous · Answer

General solution means to find all the values of x in any trigonometric equation..

anonymous · Answer

For $tanx = tany$

General solution is:

$$\large x = n \pi + y$$

anonymous · Answer

Here :

as y = tan^{-1}(2/3)  so general solution of second equation becomes:

$$\large x = n \pi + \tan^{-1}(2/3)$$

alexwee123 · Answer

|dw:1343980574390:dw|
take the inverse tan of each and your answers are
|dw:1343980628234:dw|