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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 43E
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pls help, thx
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b9a153e-765a-4a72-8731-b9b478f4d044%2Fe02dd892-a3a5-468c-aed8-d80c5d92aa58%2Ftojhxs_processed.png&w=3840&q=75)
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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