Find the exact values below. If applicable, click on "Undefined".
\[\tan \left(\begin{matrix}5\pi \\ 4\end{matrix}\right) \] and \[\csc \left(\begin{matrix}5\pi \\ 4\end{matrix}\right) \] solve both of them
I shall give you a medal if you can help *flutters eyelashes*
pwetty please????
hmm..... that might not work cause i'm not suppose to use a calculator
:O how are u gonna calculate tan n csc w no calculator?!
theres a formula it's pre calculus lol
what formula? tan(x) = sin(x) / cos(x) is not going to help...
no I don't know where's @Luigi0210 when i need him O.o
you want a unit circle here.
lol i was wondering who the invisible person was lol xD
http://www.mathsisfun.com/geometry/images/circle-unit-304560.gif divide sin by cos to get tan.
take 1/sin to get csc
uh oh that's in degrees
The cake is a lie.
http://www.mathsisfun.com/geometry/images/circle-unit-radians.gif , there, all better
@Taylor<3sRin the cake is not a lie and I"m going to burn your house down with the lemons.
To bad my house is lemon fire proof, try another citrus I DARE YOU.
huh? what the shizz... anyways inky what about tan and csc? do i transfom them into another "thing" lol
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)
they are both \[\frac{ -\sqrt{2} }{ 2 }\]
so if tan x=sin x/cos x
what is tan(5pi/4)
oh... but what does csc mean?
thats confusing it would equal 1?
\[\large \tan(\frac{5\pi}{4})=\frac{\sin(\frac{5\pi}{4})}{\cos(\frac{5\pi}{4})}\] you can look this up on the unit circle
the first one equals 1 and csc means cosecant or 1/secant
2825 fans :O
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
what is the formula for csc?
you should see that both coordinates are \(-\frac{\sqrt2}{2}\) so the ration of those two numbers is \(1\)
cosecant is the reciprocal of sine
yes I have that as my answer for tan
not cos, csc
its 1/sine
since \(\sin(\frac{5\pi}{4})=-\frac{\sqrt2}{2}\) you have \[\csc(\frac{5\pi}{4})=-\frac{2}{\sqrt2}\]
oh.... that makes since
you should rationalize the denominator by multipying top and bottom by \(\sqrt2\) and get \[\csc(\frac{5\pi}{4})=-\sqrt2\]
its 2/sqrt2 or -1.4142
thank you guys! I think I got it! :-)
yw make sure to save that cheat sheet, it will come in very handy
lol ok I will!
if you lose it, google "paul's notes" there are lots of good cheat sheets on his site (i am not paul)
lol
good for your next course too, whatever that may be lots of pre-calc and calc worked out examples and cheat sheets for both
sweet I wont forget this!
good luck!
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