What is the period of the function?
Consider the following for the next two (02) items that follow: A function is defined by f(x)=\pi+\sin^{2}x.
- A. 2\pi
- B. \pi ✓
- C. \frac{\pi}{2}
- D. The function is non-periodic
Correct Answer: B. \pi
Explanation
The constant \pi does not change the period of the function. Using the half-angle identity, \sin^2 x = \frac{1 - \cos 2x}{2}. The period is determined by \cos 2x, whose fundamental period is \frac{2\pi}{2} = \pi.
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