Find all the roots of the equation x 7-1A- cosn -7-i sinn -7 n-0-1-2-3-4-5-6B- cos2 n -7-i sin2 n -7 where n-0-1-2-3-4-5-6C- cos2 n-1 -7-i sin2 n-1 -7 where n-0-1-2-3-4-5-6D- cos2 n-1 -7-i sin2 n-1 -7 Where n-0-1-2-3-4-5-6

The correct option is B nbsp; nbsp; x^7 = 1 nbsp; nbsp;x = (1)^1/7 nbsp; nbsp; nbsp; = nbsp;[cos0 nbsp;+ isin0]^1/7 By De Moivre's th ...

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Sign of Quadratic Expression

Find all the ...

Question

Find all the roots of the equation $x^{7}$ = 1

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100 \sum k = 0 sec (\frac{3 π}{7} + \frac{k π}{2}) sec (\frac{3 π}{7} + \frac{(k + 1) π}{2}) = - A cosec (\frac{B π}{7})

[\frac{B}{A}]

[.]

A, B \in N

7 (θ) = (2 n + 1) π

n = 0, 1, 2, 3, 4, 5, 6,

{sec}^{2} \frac{π}{7} + {sec}^{2} \frac{3 π}{7} + {sec}^{2} \frac{5 π}{7}

If S = $c o s^{2} \frac{π}{n} + c o s^{2} \frac{2 π}{n} + . . . . . . . . + c o s^{2} \frac{(n - 1) π}{n}$ then S is equal to

sin 3 x + cos 2 x = - 2

n \in Z

(n \in Z)

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