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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» <html><body><p>2<br/><a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a><br/>8<br/>32</p>Solution :`(1+x^(2))/(2) <a href="https://interviewquestions.tuteehub.com/tag/ge-1003146" style="font-weight:bold;" target="_blank" title="Click to know more about GE">GE</a> x""(because A.M ge G.M.)`<br/> `<a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a>((<a href="https://interviewquestions.tuteehub.com/tag/e-444102" style="font-weight:bold;" target="_blank" title="Click to know more about E">E</a>^(i(pi)/(4)))/e^(-i(pi)/(4)))^(<a href="https://interviewquestions.tuteehub.com/tag/n-568463" style="font-weight:bold;" target="_blank" title="Click to know more about N">N</a>)=(2)/(pi).sin^(-1)(1)`</body></html> | |