Menu Close

Category: Algebra

Show-that-1-1-sinz-1-z-n-1-1-n-1-z-npi-1-z-npi-2-cotz-1-z-n-1-1-z-npi-1-z-npi-where-z-mpi-m-Z-given-the-fact-that-cosax-2sinapi-pi-1-2a-n-1-

Question Number 1838 by 112358 last updated on 11/Oct/15 Showthat(1)1sinz=1z+n=1(1)n(1z+nπ+1znπ)(2)cotz=1z+n=1(1z+nπ+1znπ)wherezmπ,mZ,giventhefactthat$${cosax}=\frac{\mathrm{2}{sina}\pi}{\pi}\left[\frac{\mathrm{1}}{\mathrm{2}{a}}+\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\left(−\mathrm{1}\right)^{{n}}…