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Mathematics 7 Online
OpenStudy (babynini):

Another value of expression question...

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

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

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

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

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

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

Nnesha (nnesha):

0_o @zepstyle

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