If Sn=(n1)sina+(n2)sin2a+⋯+(nn)sinna and Tn=(n1)cosa+(n2)cos2a+⋯+(nn)cosna where n∈N and a be the non-zero real number such that a≠(2n−1)π2, then which of the following is/are CORRECT? (Here,(nr)=nCr)

If Sn=(n1)sina+(n2)sin2a+⋯+(nn)sinna and Tn=(n1)cosa+(n2)cos2a+⋯+(

1.	If Sn=(n1)sina+(n2)sin2a+⋯+(nn)sinna and Tn=(n1)cosa+(n2)cos2a+⋯+(nn)cosna where n∈N and a be the non-zero real number such that a≠(2n−1)π2, then which of the following is/are CORRECT? (Here,(nr)=nCr)
Answer» If $S_{n} = (\frac{n}{1}) sin a + (\frac{n}{2}) sin 2 a + \dots + (\frac{n}{n}) sin n a$ and $T_{n} = (\frac{n}{1}) cos a + (\frac{n}{2}) cos 2 a + \dots + (\frac{n}{n}) cos n a$ where $n \in N$ and $a$ be the non-zero real number such that $a \neq (2 n - 1) \frac{π}{2}$ , then which of the following is/are CORRECT? $(Here, (\frac{n}{r}) =^{n} C_{r})$