S shallu New member Joined May 24, 2020 Messages 1 May 24, 2020 #1 Need urgent help to prove cos^2(x)+cos^2(2x)+cos^2(3x)...cos^2(nx)=1/2[n+{cos(n+1)x}sin(nx)}/sin(x)] using mathematical induction.
Need urgent help to prove cos^2(x)+cos^2(2x)+cos^2(3x)...cos^2(nx)=1/2[n+{cos(n+1)x}sin(nx)}/sin(x)] using mathematical induction.
D Deleted member 4993 Guest May 25, 2020 #2 shallu said: Need urgent help to prove cos^2(x)+cos^2(2x)+cos^2(3x)...cos^2(nx)=1/2[n+{cos(n+1)x}sin(nx)}/sin(x)] using mathematical induction. Click to expand... The first step of inductive proof is to show that the given equation is true for the lowest value of the parameter (here n = 1) So start to show that at n=1, the given equation is an identity (true). Please show us what you have tried and exactly where you are stuck. Please follow the rules of posting in this forum, as enunciated at: https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520 Please share your work/thoughts about this assignment.
shallu said: Need urgent help to prove cos^2(x)+cos^2(2x)+cos^2(3x)...cos^2(nx)=1/2[n+{cos(n+1)x}sin(nx)}/sin(x)] using mathematical induction. Click to expand... The first step of inductive proof is to show that the given equation is true for the lowest value of the parameter (here n = 1) So start to show that at n=1, the given equation is an identity (true). Please show us what you have tried and exactly where you are stuck. Please follow the rules of posting in this forum, as enunciated at: https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520 Please share your work/thoughts about this assignment.
