Question

tan(3x)(tanx-1)=0 [0,2pi)

Answer 1

Where are you stuck?

Answer 2

I get 0, pi/4, pi/6, 5pi/4, are there other solutions?

Answer 3

pi/3,

Answer 4

4pi/3

Answer 5

7pi/4

Answer 6

why? then it would be -1

Answer 7

3pi/4

Answer 8

tan (3x) (tanx-1) =0
either tan(3x) =0 or tanx -1 =0, right?

Answer 9

now, tan (3x) =0 iff sin (3x) =0 , ok?

Answer 10

tanx-1=0

Answer 11

sin ( 3x) =0 when 3x =0 or 3x =pi --> x = pi/2

Answer 12

* x =pi/3

Answer 13

I get the 3x, but if tanx-1 = 0 then tanx =1 right?

Answer 14

yes,

Answer 15

so that happens at 45 degrees or 225 degrees

Answer 16

nevermind...I see it now

Answer 17

not just that, \( tan = \dfrac {sin}{cos}=1 \rightarrow, sin =cos\)

Answer 18

Thanks

Answer 19

ok

Answer 20

I love helping students who knows what he is doing and willing to fight back if I am wrong.

Answer 21

:)