Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Isha lohan 1
This is even function so in Fourier series expansion you just need to find Ao term and the An term ( cos nx terms). But finding an is a bit much complicated in this type of function because it involve integration of type = log(sinx).cos x Let us simplify our function a little bit to g(x) = log(sin x) , which is analogous to your problem and solve as in fig attached.