Allied & ICAR Exam Bank • ALLIED_2663 MCQ • 1 Mark

Section 1: Engineering Mathematics

Calculus

Subtopic: Fourier, Taylor and MacLaurin series

Question Statement:

If $f(x)$ is an odd function defined in the interval $(-\pi, \pi)$, its Fourier series contains:

Options:

  • (A) Only sine terms
  • (B) Only cosine terms
  • (C) Both sine and cosine terms
  • (D) Only a constant term

Answer Key:

A

Step-by-Step Solution & Explanation

For an odd function, $a_0 = 0$ and $a_n = 0$. The Fourier series contains strictly sine terms ($b_n$).
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