Question: In the two-dimensional region shown in Fig, the angular functions appropriate for Dirichlet boundary conditions at ? = 0 and ? = ? are ?(?)

In the two-dimensional region shown in Fig, the angular functions appropriate for Dirichlet boundary conditions at ? = 0 and ? = ? are ?(?) = A_m sin(m??/?). Show that the completeness relation for these functions is

00 sin (m ) sin (m ) ((- )9 for 0 ,

00 sin (m ) sin (m ) ((- )9 for 0 , '

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