Prove by mathematical induction that for all positive integers n, sin(n+x)= (-1)" sinx. π Let S = sin(π + x)+sin(2π + x)+sin(3π + x)+...+ sin(nz + x) for 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 2
(a) Prove by mathematical induction that for all positive integers n, sin(nπ+x)=(−1)" sinx.
T
(b) Let S = sin(π + x)+sin(2π + x)+sin(3л + x) +. + sin(n+x) for 0<x<-
Show that -1<S≤0.
and all positive integers n.
Transcribed Image Text:Question 2 (a) Prove by mathematical induction that for all positive integers n, sin(nπ+x)=(−1)" sinx. T (b) Let S = sin(π + x)+sin(2π + x)+sin(3л + x) +. + sin(n+x) for 0<x<- Show that -1<S≤0. and all positive integers n.
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