If x=y and y=2 then 3x=
2 answers:
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Assuming you want the cosine series expansion over an arbitrary symmetric interval ![[-L,L]](https://tex.z-dn.net/?f=%5B-L%2CL%5D)
, 
, the cosine series is given by
You have
Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of
and so
So the cosine series for
periodic over an interval is
You have
Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of
and so
So the cosine series for
Answer:
C:
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.