A) \[n!\]
B) \[n!{{a}_{n}}x\]
C) \[n!{{a}_{n}}\]
D) None of these
Correct Answer: C
Solution :
\[=2\frac{{{a}^{2}}}{2}\sin (\pi -2\theta )+\frac{1}{2}{{a}^{2}}\sin 4\theta \] \[{{y}_{1}}={{a}_{1}}+2{{a}_{2}}x+......+n{{a}_{n}}{{x}^{n-1}}\] \[{{y}_{2}}=2{{a}_{2}}+6{{a}_{3}}x+......+n(n-1){{a}_{n}}{{x}^{n-2}}\] ...................................... ...................................... \[{{y}_{n}}=n!{{a}_{n}}\].
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