solve-1-ix-n-n-with-x-unknown-real-and-n-integr-natural- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 47543 by maxmathsup by imad last updated on 11/Nov/18 solve(1+ix)n=nwithxunknownrealandnintegrnatural. Answered by arcana last updated on 11/Nov/18 ln(e(1+ix)n)=nln(eeix)=nln(e)+ln(eix)=1+ln(eix)=1ln(eix)=0=ln(1)⇒eix=cos(x)+isin(x)=1+i0siysolosicos(x)=1,sin(x)=0x=kπconk∈Zverificardeduccion Commented by Smail last updated on 11/Nov/18 (1+ix)n=ln(e(1+ix)n)notln(e(1+ix)n) Answered by Smail last updated on 11/Nov/18 (1+ix)n=ne2ikπwithk=(0,1,2,…,n−1)1+ix=nne2ikπn1+ix=nncos(2kπn)+innsin(2kπn)nncos(2kπn)=1andnnsin(2kπn)=x2kπn=cos−1(1nn)+2mπwithm∈INx=nnsin(cos−1(1nn)+2mπ)=nn1−1n2n=n2n−1x=n2n−1 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: find-arctan-x-dx-Next Next post: The-perimeter-of-a-triangle-is-84-cm-and-it-s-area-is-336-square-cm-If-the-length-of-one-side-of-triangle-is-30-cm-then-what-is-the-lengths-of-the-remaining-two-sides-of-triangle- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.