Mathematics
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OpenStudy (anonymous):
Help?
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OpenStudy (anonymous):
Determine the number of cycles each trigonometric function has in the interval from 0 to 2π. Find the amplitude and period of each function.
OpenStudy (anonymous):
y = sin5θ
OpenStudy (pradipgr817):
amplitude=1, period is 2pi/5
OpenStudy (anonymous):
how you get that?
OpenStudy (anonymous):
also. how many cycles from 0 to 2pi?
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OpenStudy (pradipgr817):
5
OpenStudy (anonymous):
awesome!
OpenStudy (anonymous):
i still dont know how you calculate the periods though :(
OpenStudy (anonymous):
amplitude is easy ; )
OpenStudy (anonymous):
Can you help me with this one? 2cos4θ
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OpenStudy (pradipgr817):
amplitude-2, period-pi/2, cycle-4
OpenStudy (anonymous):
how you find the periods?
OpenStudy (pradipgr817):
in how much time the signal will complete 2pi, i.e. one cycle which ic 2pi/4=pi/2
OpenStudy (anonymous):
oooh!
OpenStudy (anonymous):
so for -5sin2πθ, the amplitude is 6, cycles is 6, and period is pi/3?
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OpenStudy (anonymous):
btw kinda confused, is the 9 the amplitude of 4cos2θ ?
OpenStudy (anonymous):
you don't even have the correct amplitude for the post above.....
OpenStudy (anonymous):
which? :o
OpenStudy (pradipgr817):
-5sin2πθ, it is 5, the argument is written incorrect
OpenStudy (pradipgr817):
4cos2θ it is 4
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OpenStudy (pradipgr817):
the coefficient of trigonometric term is amplitude
OpenStudy (anonymous):
\(\large y=Asin(Bx+C) \)
if the trig function can be written as above,
amplitude = absolute value (A)
period = \(\large \frac{2\pi}{B} \)
OpenStudy (anonymous):
B is the number of cycles right?
OpenStudy (pradipgr817):
ya now it must be clear
OpenStudy (pradipgr817):
right
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OpenStudy (anonymous):
awesome thank you!! :)
OpenStudy (pradipgr817):
awesome welcome
OpenStudy (pradipgr817):
;)