If xn-cos-4n-i sin-4n then x1 x2 x3-A- 1-i -3-2B- -1-i -3-2C- 1-i -3-2D- -1-i -3-2

The correct option is A x_1x_2x_3.........∞ = nbsp; nbsp;1∞Π cis( π/4^n) = cis (∑_1^∞π/4^n) nbsp;= nbsp;cisπ/3=1+i√(3)/2 ...

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Property 2

If xn=cosπ/4n...

Question

If $x_{n}$ = cos( $\frac{π}{4^{n}}$ ) + i sin( $\frac{π}{4^{n}}$ ) then $x_{1} x_{2} x_{3} . . . . . . . . . \infty =$

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Solution

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Similar questions

$\frac{1 - i}{1 + i}$ is equal to

\frac{1 - i}{c o s \frac{π}{3} + i s i n \frac{π}{3}}

(1 - s i n α) + i (c o s α)

\frac{1 - i}{c o s \frac{π}{3} + i s i n \frac{π}{3}} = \frac{1 - i}{\frac{1}{2} + i \frac{\sqrt{3}}{2}}

The value of $(- i)^{\frac{1}{3}}$ is

Z = \frac{i - 1}{cos \frac{π}{3} + i sin \frac{π}{3}}

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