PROBLEM 3 : Prove the following for the separation of variable problem discussed in class 1 0cos ()cos () = 0 when mn Hint: Use the fact that tan () = and also tan () =

PROBLEM 3 : Prove the following for the separation of variable problem discussed in class 01cos(mX)cos(nX)dX=0 when m=n Hint: Use the fact that mtan(m)=Bi and also ntan(n)=Bi