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Question: x,y ,z are real numbers such that summation of cos x=0=summation of sinx. Prove that summation of (x*2^n)=0=summation of sin(x*2^n) for all n____>natural no.s

Question:  x,y ,z are real numbers such that summation of cos x=0=summation of sinx. Prove that summation of (x*2^n)=0=summation of sin(x*2^n) for all n____>natural no.s

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

In this case apply the Arithmetic sum of sine series as well as cosine series which you have learnt in complex numbers or go thru ML Khanna

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Sagar Singh

B.Tech, IIT Delhi

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