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Mathematics 15 Online
OpenStudy (kj4uts):

The exact value of sin 5pi/12 is:

OpenStudy (kj4uts):

OpenStudy (kj4uts):

is it 0.97

jimthompson5910 (jim_thompson5910):

hint: \[\Large \frac{5\pi}{12} = \frac{1}{2}*\frac{5\pi}{6}\]

jimthompson5910 (jim_thompson5910):

You'll use the half angle formula

jimthompson5910 (jim_thompson5910):

they want an exact value (not an approximation)

OpenStudy (kj4uts):

So I guess I can eliminate a. and d.

OpenStudy (kj4uts):

doesn't 1/2 * (5pi/6) = 1.30

jimthompson5910 (jim_thompson5910):

you'll use this http://1.bp.blogspot.com/_22SNRpx_D5A/TQlI4UzME3I/AAAAAAAAAAs/HWHHmtVcLiM/s320/eq5.gif

jimthompson5910 (jim_thompson5910):

in this case, u = 5pi/6

OpenStudy (kj4uts):

@jim_thompson5910 I think I got it. It is b. √2(√3+1)/4

jimthompson5910 (jim_thompson5910):

yep, it's B, you can also use a calc to see that sin(5pi/12) = 0.96592582628907 (sqrt(2)*(sqrt(3)+1))/4 = 0.96592582628907 since they yield the same approx result, the two are equal

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