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Mathematics 6 Online
OpenStudy (anonymous):

Help?

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?

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

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?

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

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

OpenStudy (anonymous):

awesome thank you!! :)

OpenStudy (pradipgr817):

awesome welcome

OpenStudy (pradipgr817):

;)

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