TS EAMCET · Maths · Functions
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 \(\frac{\pi}{5}\)
- D \(\frac{2 \pi}{5}\)
Answer & Solution
Correct Answer
(D) \(\frac{2 \pi}{5}\)
Step-by-step Solution
Detailed explanation
Since, period of \(\cos (5 x+3)=\frac{2 \pi}{5}\) \(\therefore\) Period of \(f(x)\) is also \(\frac{2 \pi}{5}\).
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