i neeed help!!!!!
Solve the trigonometric equation..
sinx tan^2x=sinx

Question

perl · Answer

your real name is shelly poop?

anonymous · Answer

no. its shelly.

shubhamsrg · Answer

then why poop? o.O

anonymous · Answer

i just randomly made up a username

shubhamsrg · Answer

quite some name that is! o.O

shubhamsrg · Answer

anyways,,for the question,,bring everything in LHS..what do you get?

anonymous · Answer

thanks . haha
LHS?? whats that?

anonymous · Answer

left hand side :P

anonymous · Answer

i know i have to equal it to zero , i think , or put it all on one side?

anonymous · Answer

ohhh haha i knew that >.<

shubhamsrg · Answer

yep./..put all on one side..

shubhamsrg · Answer

now take sinx common out..what do you get ?

anonymous · Answer

$$sinx \tan^2x=sinx .$$ That's the question, no?

anonymous · Answer

yeahh thats the question .. i dont make tan^2 to 1-sec^2x ??

hartnn · Answer

i think that is not required, if u know when tan x =0
first, bring all terms on one side, what u get ?

anonymous · Answer

you get sinx tan^2x -sinx .. then the sin cancels out? nd tan^2x=0 ?

hartnn · Answer

its not accurate to say that sin cancels out
you factor out sin x like this : 
sinx (tan^2x-1) = 0
then u equate both factors to 0.

anonymous · Answer

oohh okay thank you very much!:]

hartnn · Answer

so , can u solve for x in sinx (tan^2x-1) = 0
?

anonymous · Answer

umm i think.. haha ill try to figure it out >.<

hartnn · Answer

sure, if u don't get it, ask....

anonymous · Answer

do i move the 2 in front of the tan? haha. >.<

hartnn · Answer

sinx (tan^2x-1) = 0
equating both factors to 0, u get 
sin x=0
tan^2 x = 1
right ?

anonymous · Answer

yeaaahh

hartnn · Answer

so what is x, when sin x=0 ??

anonymous · Answer

pi and 2pi ,, sorry i dont have the little symbol

hartnn · Answer

yeah, do u have any interval to solve in ?? or u want general solution ??

anonymous · Answer

general

hartnn · Answer

so, starting with 0, sin x is 0 for x=0,$\pi$,2$\pi$,3$\pi$,........n$\pi$
got this ?

anonymous · Answer

yeah i understand that part ,

anonymous · Answer

the tan part i dont get

hartnn · Answer

$\tan^2x  = 1$
so,
tan x = $\pm$1
right ?
u know for which values of x are tan values + or -1

anonymous · Answer

what happened to the ^2 ?

hartnn · Answer

taking square root on both sides....

anonymous · Answer

ohhhhhhh you squared it! . ahh i feel so dumb-.-
, ahh yess thank you so much!! i know the values now :] .

hartnn · Answer

great :)
welcome ^_^

anonymous · Answer

thanks again!!:D