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…
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
- $2 \pi$
- $\pi$
- $\frac{\pi}{5}$
- $\frac{2 \pi}{5}$
Solution
Since, period of $\cos (5 x+3)=\frac{2 \pi}{5}$ $\therefore$ Period of $f(x)$ is also $\frac{2 \pi}{5}$.
Asked in: AP EAMCET 2011
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