The least positive integer n for which 1-i1-in-2-sin-11-x22x- where x-0- is

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Standard XII

Mathematics

Modulus of a Complex Number

The least pos...

Question

The least positive integer $n$ for which ${(\frac{1 + i}{1 - i})}^{n} = \frac{2}{π} {sin}^{- 1} (\frac{1 + x^{2}}{2 x})$ , where $x > 0$ , is

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Solution

The correct option is B $4$

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The least positive integer n for which (1+i1−i)n=2πsin−1(1+x22x), where x>0, is

The correct option is B 4

The least positive integer $n$ for which ${(\frac{1 + i}{1 - i})}^{n} = \frac{2}{π} {sin}^{- 1} (\frac{1 + x^{2}}{2 x})$ , where $x > 0$ , is

The correct option is B $4$