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 answerD$\frac{2 \pi}{5}$
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'.