Mathematics
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OpenStudy (babynini):
Another value of expression question...
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OpenStudy (babynini):
Find the exact value of the expression sin(2tan^-1 (12/5))
Nnesha (nnesha):
\[\huge\rm tan^{-1}(\frac{12}{5})= ??\]
first find arctan and then multiply by 2
hmmm
OpenStudy (babynini):
67.380
OpenStudy (babynini):
wait, multiply that answer by 2?
Nnesha (nnesha):
yep
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OpenStudy (babynini):
why
Nnesha (nnesha):
\[\huge\rm sin(\color{red}{2} \tan^{-1}(\frac{12}{5})\]
bec there is 2
OpenStudy (babynini):
hahhh dumb question, because it's 2tan. gotcha.
OpenStudy (sepeario):
wait what's so hard about that? can't you just enter that into the calculator?
OpenStudy (babynini):
I think it's meant to be in radian
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OpenStudy (babynini):
ok so that equals 134.760
OpenStudy (sepeario):
oh alright i get it now
Nnesha (nnesha):
yep you can round it
134.760 ---->135
OpenStudy (babynini):
so we have sin(135ish)
Nnesha (nnesha):
yep right
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OpenStudy (babynini):
which is equivalent to what in radian? o.0
OpenStudy (babynini):
3pi/4 ?
Nnesha (nnesha):
exact value i guess they are asking y value (x ,y)
o^_^o order pair
OpenStudy (babynini):
well, they're asking for sine
OpenStudy (babynini):
because it's sine of 135
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Nnesha (nnesha):
yes right sin(135) = ??
\[\huge\rm (x,y)---> (\cos,\sin)\]
OpenStudy (babynini):
3pi/4 i think so, \[\frac{ -\sqrt{2} }{ 2 }\]
Nnesha (nnesha):
;D
OpenStudy (babynini):
oh shoot, it's not neg.
OpenStudy (babynini):
it's positive
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Nnesha (nnesha):
alphabetical order ( cos , sin)
^ ^
Nnesha (nnesha):
yes right it's positive root 2 over 2
OpenStudy (babynini):
so the exact value would be sq2/2 ?
Nnesha (nnesha):
yes right
OpenStudy (babynini):
yayay :)
ready for next question? *eye twitch
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Nnesha (nnesha):
0_o @zepstyle