If a0,a1,a2,............,an−1 are nth roots of unity, then ak = cos

1.	If a0,a1,a2,............,an−1 are nth roots of unity, then ak = cos 2kπn + i sin 2kπn where 0≤k≤n−1. Also then Value of 2n−1sin(πn)sin(2πn).........sin(n−1nπ)is
Answer» If $a_{0}, a_{1}, a_{2}, . . . . . . . . . . . ., a_{n - 1}$ are nth roots of unity, then $a_{k}$ = cos $\frac{2 k π}{n}$ + i sin $\frac{2 k π}{n}$ where $0 \leq k \leq n - 1$ . Also then Value of $2^{n - 1}$ sin $(\frac{π}{n})$ sin $(\frac{2 π}{n})$ .........sin $(\frac{n - 1}{n} π)$ is

If a0,a1,a2,............,an−1 are nth roots of unity, then ak = cos 2kπn + i sin 2kπn where 0≤k≤n−1. Also then Value of 2n−1sin(πn)sin(2πn).........sin(n−1nπ)is

Answer»

If $a_{0}, a_{1}, a_{2}, . . . . . . . . . . . ., a_{n - 1}$ are nth roots of unity, then $a_{k}$ = cos $\frac{2 k π}{n}$ + i sin $\frac{2 k π}{n}$ where $0 \leq k \leq n - 1$ .

Also then Value of $2^{n - 1}$ sin $(\frac{π}{n})$ sin $(\frac{2 π}{n})$ .........sin $(\frac{n - 1}{n} π)$ is

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If a0,a1,a2,............,an−1 are nth roots of unity, then ak = cos 2kπn + i sin 2kπn where 0≤k≤n−1. Also then Value of 2n−1sin(πn)sin(2πn).........sin(n−1nπ)is

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