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anonymous
 one year ago
Find an exact value.
sine of nineteen pi divided by twelve.
quantity square root of two minus square root of six divided by four.
quantity square root of six minus square root of two divided by four.
quantity square root of six plus square root of two divided by four.
quantity negative square root of six minus square root of two divided by four.
@ganeshie8
anonymous
 one year ago
Find an exact value. sine of nineteen pi divided by twelve. quantity square root of two minus square root of six divided by four. quantity square root of six minus square root of two divided by four. quantity square root of six plus square root of two divided by four. quantity negative square root of six minus square root of two divided by four. @ganeshie8

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0wut 0_o wuts going on here

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i need help with this

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0\[\Large\rm \sin\left(\frac{19\pi}{12}\right)=\sin\left(\frac{19\pi/6}{2}\right)\]We can start there, ya? And maybe apply halfangle formula? What do you think? :3

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0\[\Large\rm \sin\left(\frac{\color{orangered}{\theta}}{2}\right)=\pm\sqrt{\frac{1\cos\color{orangered}{\theta}}{2}}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0So then for our problem,\[\Large\rm \sin\left(\frac{\color{orangered}{19\pi/6}}{2}\right)=\pm\sqrt{\frac{1\cos\color{orangered}{\frac{19\pi}{6}}}{2}}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0What's cosine of 19pi/6? Hmm that angle is too large.. it's larger than 2pi, so we should try to unwind it by subtracting some 2pi's from it

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0\[\Large\rm \frac{19\pi}{6}2\pi\quad=\quad \frac{19\pi}{6}\frac{12\pi}{6}=\frac{7\pi}{6}\]Ya?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0So our problem becomes,\[\Large\rm \pm\sqrt{\frac{1\cos\color{orangered}{\frac{7\pi}{6}}}{2}}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0All we did was spin around the circle once and land in the same spot, to get a better angle to work with.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i have trouble simplifying that..

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0bust out your unit circle or something.. to get the cosine value :U requires some memorization to get those down

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0cosine is the x coordinate

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{6}\sqrt{2}/4?\]
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