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avatar+569 

help will be very much appreciated!

 Jan 8, 2019

Best Answer 

 #1
avatar+18324 
+2

Paradoxically, when you multiply x by 2   in the trig functions    cos 2x     the period is HALVED    so    pi

 

 

sooooooo......you should be able to figure out what the second one is.....    cos 2x

 

 

For the third one, continuing.....the period is still  2pi   but the amplitude is reduced to 1/2  ....and it is FLIPPED ...so    -1/2 cos x

 

 

 

Frequency = 1/period = 1/pi     (1 cycle in pi time    1/pi)

 

 

 

For the last one....just make the cosine  wave 4 times taller      at    pi/2    and   3pi/2  the value is still 0  

 Jan 8, 2019
 #1
avatar+18324 
+2
Best Answer

Paradoxically, when you multiply x by 2   in the trig functions    cos 2x     the period is HALVED    so    pi

 

 

sooooooo......you should be able to figure out what the second one is.....    cos 2x

 

 

For the third one, continuing.....the period is still  2pi   but the amplitude is reduced to 1/2  ....and it is FLIPPED ...so    -1/2 cos x

 

 

 

Frequency = 1/period = 1/pi     (1 cycle in pi time    1/pi)

 

 

 

For the last one....just make the cosine  wave 4 times taller      at    pi/2    and   3pi/2  the value is still 0  

ElectricPavlov Jan 8, 2019

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