Finding the Exact Values of tan 165 and tan 285 using sin and cos

[Maria]

How do I find the exact value of tan 165 and tan 285
I think it has got something to do with
sinx
tanx = cosx

 

[Motifs]

Susan meets Maria on PF ground and ready to fight

The best best way is use a calculator!
The best way is pi/12=pi/3-pi/4 and then try applying the formula calculating tan(pi/3-pi/4), your goning to get there

Susan

 

[Maria]

that`s not enough on a test

 

[Hurkyl]

do you know how to find sin 165?

 

[Motifs]

that`s not enough on a test

why not enough ?

 

[Maria]

I`ve found sin 165 and tan 165,and I`ve tried
sinx
tanx = cosx
but I can`t get the answer right..

 

[Hurkyl]

All right, I'm confused as to just what you're trying to do... I thought you said you were unable to find tan 165?

 

[Maria]

oh sorry..
sin165
What I meant was tan1 65 = cos165

I know sin 165and cos 165.. Have I got things right so far?

 

[Hurkyl]

Have you been trying to write tan 165 = sin 165 / cos 165?

If you have the right values for sin 165 and cos 165, then dividing will give you the right value for tan 165.

Keep in mind that there are lots of ways to write the exact value for tan 165, so if the answer doesn't look like the books answer, see if you can find a way to be sure they are the same or different.