1-find-P-R-x-P-sinx-sin-2n-1-x-2-find-the-roots-of-P-and-degP-3-decompose-1-P-and-prove-that-2n-1-sin-2n-1-x-k-0-2n-1-k-cos-kpi-2n-1-sinx-sin-kpi-2n-1 Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 28265 by abdo imad last updated on 22/Jan/18 1)findP∈R[x]/P(sinx)=sin(2n+1)x2)findtherootsofPanddegP3)decompose1Pandprovethat2n+1sin(2n+1)x=∑k=02n(−1)kcos(kπ2n+1)sinx−sin(kπ2n+1)). Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: decompose-F-x-1-x-1-2-x-3-1-then-calculate-2-F-x-dx-Next Next post: let-give-the-polynomial-P-x-1-2i-1-ix-n-1-ix-n-find-the-roots-of-P-x-and-factorize-P-x- Leave a Reply Cancel replyYour email address will not be published.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.
![1) find P∈R[x] / P(sinx) =sin(2n+1)x 2) find the roots of P and degP 3) decompose (1/P) and prove that ((2n+1)/(sin(2n+1)x)) = Σ_(k=0) ^(2n) (((−1)^k cos(((kπ)/(2n+1))))/(sinx−sin (((kπ)/(2n+1)))))) .](https://www.tinkutara.com/question/Q28265.png)