Solution: What relation can you draw from the given series?

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(Last Updated On: March 28, 2019)

What relation can you draw from these series?

Problem Statement: EE Board March 1998

Given the following series:

Sin x = x – (x^3/3!) + (x^5/5!) + …..

Cos x = 1 – (x^2/2!) + (x^4/4!) + …..

ex = 1 + x + (x^2/2!) + (x^3/3!) + ….

What relation can you draw from these series?

  • A. ex = cos x + sin x
  • B. eix = cos x + isin x
  • C. eix = icos x + sin x
  • D. iex = icos x + isin x

Problem Answer:

The equivalent relation of the given series is B. eix = cos x + isin x.

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Solution: What relation can you draw from the given series?

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