Is this Fourier Series exam question solved correctly?

[iandelaney]

Homework Statement

Hi - as part of my revision I have been looking at previous exam papers and came across this question on Fourier Series. I have scanned the question in as well as my attempt at a solution. I am hoping that my solution is correct, but if anyone can find an error in it or confirm that I have gone about this question the right way then that would be great :-) Ian

Homework Equations

See Scan Below

The Attempt at a Solution

See Scan below

 

[mighty2000]

Hello Ian,

After reviewing your solution, I can confirm that you have gone about this question correctly. Your approach to finding the Fourier series coefficients using the given equations is accurate and your final answer matches with the solution provided in the exam paper. Great job on your revision and best of luck with your exams!

Just a small note, in your final answer for the Fourier series, the coefficient for cos(3x) should be 3/2 instead of 2/3. Other than that, your solution is spot on. Keep up the good work!