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SSC Pure Mathematics QUESTION #11226
Question 1
The period of $3\cos\dfrac{x}{5}$ is:
  • $2\pi$
  • $\dfrac{2\pi}{5}$
  • $6\pi$
  • $10\pi$✔️
Correct Answer Explanation
The period of $\cos(bx)$ is $\dfrac{2\pi}{|b|}$. Here $b = \dfrac{1}{5}$, so the period of $3\cos\dfrac{x}{5}$ is $\dfrac{2\pi}{1/5} = 10\pi$.