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Mathematics 17 Online
OpenStudy (linda3):

Find the exact values below. If applicable, click on "Undefined".

OpenStudy (linda3):

\[\tan \left(\begin{matrix}5\pi \\ 4\end{matrix}\right) \] and \[\csc \left(\begin{matrix}5\pi \\ 4\end{matrix}\right) \] solve both of them

OpenStudy (linda3):

I shall give you a medal if you can help *flutters eyelashes*

OpenStudy (linda3):

pwetty please????

OpenStudy (superdavesuper):

use the online calculator here: http://mathway.com/ may be?

OpenStudy (linda3):

hmm..... that might not work cause i'm not suppose to use a calculator

OpenStudy (superdavesuper):

:O how are u gonna calculate tan n csc w no calculator?!

OpenStudy (linda3):

theres a formula it's pre calculus lol

OpenStudy (superdavesuper):

what formula? tan(x) = sin(x) / cos(x) is not going to help...

OpenStudy (linda3):

no I don't know where's @Luigi0210 when i need him O.o

OpenStudy (inkyvoyd):

you want a unit circle here.

OpenStudy (linda3):

lol i was wondering who the invisible person was lol xD

OpenStudy (inkyvoyd):

http://www.mathsisfun.com/geometry/images/circle-unit-304560.gif divide sin by cos to get tan.

OpenStudy (inkyvoyd):

take 1/sin to get csc

OpenStudy (inkyvoyd):

uh oh that's in degrees

OpenStudy (taylor<3srin):

The cake is a lie.

OpenStudy (inkyvoyd):

http://www.mathsisfun.com/geometry/images/circle-unit-radians.gif , there, all better

OpenStudy (inkyvoyd):

@Taylor<3sRin the cake is not a lie and I"m going to burn your house down with the lemons.

OpenStudy (taylor<3srin):

To bad my house is lemon fire proof, try another citrus I DARE YOU.

OpenStudy (linda3):

huh? what the shizz... anyways inky what about tan and csc? do i transfom them into another "thing" lol

OpenStudy (inkyvoyd):

ok. tell me what sin(5pi/4) and cos(5pi/4) are according to the chart I gave you. (it's in cos x, sin x)

OpenStudy (linda3):

they are both \[\frac{ -\sqrt{2} }{ 2 }\]

OpenStudy (inkyvoyd):

so if tan x=sin x/cos x

OpenStudy (inkyvoyd):

what is tan(5pi/4)

OpenStudy (linda3):

oh... but what does csc mean?

OpenStudy (linda3):

thats confusing it would equal 1?

OpenStudy (anonymous):

\[\large \tan(\frac{5\pi}{4})=\frac{\sin(\frac{5\pi}{4})}{\cos(\frac{5\pi}{4})}\] you can look this up on the unit circle

OpenStudy (anonymous):

the first one equals 1 and csc means cosecant or 1/secant

OpenStudy (anonymous):

OpenStudy (linda3):

2825 fans :O

OpenStudy (anonymous):

find \(\frac{5\pi}{4}\)on the unit circle of the attached cheat sheet, which would be good to save the first coordinate on the circle is cosine, the second coordinate is sine

OpenStudy (linda3):

what is the formula for csc?

OpenStudy (anonymous):

you should see that both coordinates are \(-\frac{\sqrt2}{2}\) so the ration of those two numbers is \(1\)

OpenStudy (anonymous):

cosecant is the reciprocal of sine

OpenStudy (linda3):

yes I have that as my answer for tan

OpenStudy (linda3):

not cos, csc

OpenStudy (anonymous):

its 1/sine

OpenStudy (anonymous):

since \(\sin(\frac{5\pi}{4})=-\frac{\sqrt2}{2}\) you have \[\csc(\frac{5\pi}{4})=-\frac{2}{\sqrt2}\]

OpenStudy (linda3):

oh.... that makes since

OpenStudy (anonymous):

you should rationalize the denominator by multipying top and bottom by \(\sqrt2\) and get \[\csc(\frac{5\pi}{4})=-\sqrt2\]

OpenStudy (anonymous):

its 2/sqrt2 or -1.4142

OpenStudy (linda3):

thank you guys! I think I got it! :-)

OpenStudy (anonymous):

yw make sure to save that cheat sheet, it will come in very handy

OpenStudy (linda3):

lol ok I will!

OpenStudy (anonymous):

if you lose it, google "paul's notes" there are lots of good cheat sheets on his site (i am not paul)

OpenStudy (linda3):

lol

OpenStudy (anonymous):

good for your next course too, whatever that may be lots of pre-calc and calc worked out examples and cheat sheets for both

OpenStudy (linda3):

sweet I wont forget this!

OpenStudy (anonymous):

good luck!

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