Prove by using principle of mathematical induction :cos a+ cos (a+b)+ cos (a+2b)+ +cos [a+(n-1)b] - Maths - Principle of Mathematical Induction

Question

Prove by using principle of mathematical induction :cos a+ cos
(a+b)+ cos (a+2b)+ +cos [a+(n-1)b] = {cos [a+ ((n-1)/2)b]sin
(nb/2)}/sin (b/2)

Anuradha Sharma · Accepted Answer

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Prove by using principle of mathematical induction :cos a+ cos (a+b)+ cos (a+2b)+......+cos [a+(n-1)b] = {cos [a+ ((n-1)/2)b]sin (nb/2)}/sin (b/2)