Find the value of the expression (cos+2π+isin.2π)(cos.22π+isin.22π)….to∞

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Question

Find the value of the expression
$(cos + \frac{π}{2} + i sin . \frac{π}{2}) (cos . \frac{π}{2 ^{2}} + i sin . \frac{π}{2 ^{2}}) \dots . to \infty$

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Find the value of the expression

(cos + \frac{π}{2} + i sin . \frac{π}{2}) (cos . \frac{π}{2 ^{2}} + i sin . \frac{π}{2 ^{2}}) \dots . to \infty

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Question Text

Find the value of the expression

(cos + \frac{π}{2} + i sin . \frac{π}{2}) (cos . \frac{π}{2 ^{2}} + i sin . \frac{π}{2 ^{2}}) \dots . to \infty