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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Trigonometric Ratios & Identities

NDA 2023 · Mathematics · Trigonometric Ratios & Identities

A function is defined by f(x)=π+ ^2 x What is the period of the...

A function is defined by f(x)=π+sin⁡2xf(x)=\pi+\sin ^2 x What is the period of the function?

Options

  1. A2π2 \pi
  2. Bπ\pi
  3. Cπ2\frac{\pi}{2}
  4. DThe function is non-periodic

Correct answer

B. π\pi

Step-by-step solution

Since, period of sin⁡2x\sin ^2 \mathrm{x} is π⇒\pi\Rightarrow period of f(x)=π+sin⁡2xf(x)=\pi+\sin ^2 x is π\pi
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