Question

solve the equation

3 tan x - cot x = 0

Answer 1

Let tan x be equal to u and then solve for u

Answer 2

Remember \[\cot x = 1/tanx\]

Answer 3

3 tan x = cot x
3 tan^2(x) = 1
tan^2(x) = 1/3
\[\tan x = \sqrt{3}/3\]
x = 30

Answer 4

so you have \[3u - 1/u = 0\]

Answer 5

what do u mean by u
u and x are the same thing

Answer 6

Look at the comment above yours. I wrote it down for you.

Answer 7

ok one

Answer 8

question how did u get tan^2 @jlee7x2

Answer 9

No, your answer would not be one.

Answer 10

3 tan x = 1/tan x
3 tan^2(x) = 1

Answer 11

yes i know that it was a typo

Answer 12

b/c cot x = 1/tan x as @beeqay mentioned

Answer 13

\[3u- 1/u =0\]
This is equal to \[3u^2 -1= 0\]
Now solve for u

Answer 14

how did u get tan^2 from tan x - 1/tan x

Answer 15

@Nali If you plug in \[tanx \]back into \[u\], then you have
\[3\tan^2x -1 = 0\]

Answer 16

But @jlee7x2 just multiplied everything by\[ tanx\] to get rid of \[1/tanx\]
You see \[tanx- 1/tanx=0\] is the same as \[\tan^2x -1 = 0\]

Answer 17

yes i got it thanks to all

Answer 18

No problem.