Q80 / 160 · AP EAMCET 2011 · Mathematics

If $\quad f: R \rightarrow R \quad$ is defined by $f(x)=7+\cos (5 x+3)$ for $x \in R$, then the period of $f$ is

  • A
    $2 \pi$
  • B
    $\pi$
  • C
    $\frac{\pi}{5}$
  • Correct answer
    D
    $\frac{2 \pi}{5}$

Solution

Since, period of $\cos (5 x+3)=\frac{2 \pi}{5}$ $\therefore$ Period of $f(x)$ is also $\frac{2 \pi}{5}$.

Hence, the correct answer is option: 'D'.

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