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NDA 2020
Exam
NDA
Year
2020
Subject
Mathematics
Chapter
Trigonometric Ratios & Identities

NDA 2020 · Mathematics · Trigonometric Ratios & Identities

The value of ordinate of the graph of y=2+ x lies in the interval

The value of ordinate of the graph of y=2+cos⁡xy=2+\cos x lies in the interval

Options

  1. A[0,1][0,1]
  2. B[0,3][0,3]
  3. C[−1,1][-1,1]
  4. D[1,3][1,3]

Correct answer

D. [1,3][1,3]

Step-by-step solution

y=2+cos⁡xy=2+\cos x Range of cos⁡x=[−1,1]\cos x=[-1,1]ymin⁡=2−1=1ymax⁡=2+1=3\begin{aligned} & y_{\min }=2-1=1 \\ & y_{\max }=2+1=3 \end{aligned}$Thus,ordinateofthegraphThus, ordinate of the graph=[1,3\rceil$.
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