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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 functionh(x) ?

Options

  1. Aπ\pi
  2. B4π5\frac{4 \pi}{5}
  3. C5π2\frac{5 \pi}{2}
  4. D3π2\frac{3 \pi}{2}

Correct answer

C. 5π2\frac{5 \pi}{2}

Step-by-step solution

Period of h(x)=2π4/5=5π2h(x)=\frac{2 \pi}{4 / 5}=\frac{5 \pi}{2}
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