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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Trigonometric Ratios & Identities

NDA 2019 · Mathematics · Trigonometric Ratios & Identities

Paragraph: Consider the function f(x)=g(x)+h(x) where g(x)=...

Paragraph: Consider the function f(x)=g(x)+h(x)f(x)=g(x)+h(x) where g(x)=sin⁡(x4)g(x)=\sin \left(\frac{x}{4}\right)and h(x)=\cos \left(\frac{4 x}{5}\right)<br><strong>Question:</strong>Whatistheperiodofthefunction<br><strong>Question:</strong> What is the period of the functiong(x) ?

Options

  1. Aπ\pi
  2. B2π2 \pi
  3. C4π4 \pi
  4. D8π8 \pi

Correct answer

D. 8π8 \pi

Step-by-step solution

If f(x)f(x) has period T then, af(bx+c)a f(b x+c) has period T∣b∣∴\frac{T}{|b|}\therefore period of g(x)=2π1/4=8πg(x)=\frac{2 \pi}{1 / 4}=8 \pi
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