Mathematics
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OpenStudy (anonymous):
Someone help, one question :<
http://oi57.tinypic.com/zl6hpl.jpg
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jimthompson5910 (jim_thompson5910):
What is the period of this sine function?
OpenStudy (anonymous):
I can only assume 430, thats the only number given there
OpenStudy (anonymous):
I have no idea how to do this =c
jimthompson5910 (jim_thompson5910):
it is 430 because it repeats after 430
jimthompson5910 (jim_thompson5910):
the formula to find the period T is
T = 2pi/B
solve for B to get
T = 2pi/B
BT = 2pi
B = 2pi/T
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jimthompson5910 (jim_thompson5910):
Then plug in the period of T = 430 to get
B = 2pi/T
B = 2pi/430
B = ???
OpenStudy (anonymous):
.015 aprox?..
jimthompson5910 (jim_thompson5910):
keep it as a fraction in terms of pi
OpenStudy (anonymous):
860pi?
jimthompson5910 (jim_thompson5910):
reduce 2pi/430
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jimthompson5910 (jim_thompson5910):
think of it as reducing 2/430 and then tack on pi at the end
OpenStudy (anonymous):
sin215pi ?
jimthompson5910 (jim_thompson5910):
2/430 doesn't reduce to 215
jimthompson5910 (jim_thompson5910):
close though
OpenStudy (anonymous):
It reduces to 1/215 doesnt it?
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jimthompson5910 (jim_thompson5910):
yeah you were thinking of 430/2 = 215
jimthompson5910 (jim_thompson5910):
so that's why the answer is C
jimthompson5910 (jim_thompson5910):
because we have this basic form
y = A*sin(Bx - C) + D
where B is used to determine the period T (T = 2pi/B)
OpenStudy (anonymous):
Math is so confusing, but I think i get it x.x Thank you! Could you help with one more? I'll be posting it in a moment
jimthompson5910 (jim_thompson5910):
ok go ahead