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Mathematics 84 Online
OpenStudy (anonymous):

Someone help, one question :< http://oi57.tinypic.com/zl6hpl.jpg

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

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

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?

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

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