1.

If xgt0, the least value of n in N such that ((1+i)/(1-i))^(n)=(2)/(pi)sin^(-1)((1+x^(2))/(2x)) is :

Answer»

2
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8
32

Solution :`(1+x^(2))/(2) GE x""(because A.M ge G.M.)`
`THEREFORE((E^(i(pi)/(4)))/e^(-i(pi)/(4)))^(N)=(2)/(pi).sin^(-1)(1)`


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