JEE Mains · Maths · STD 12 - 1. relation and function
The function \(f\left( x \right) = \left| {\sin \,4x} \right| + \left| {\cos \,2x} \right|\), is a periodic function with period
- A \(2 \pi \)
- B \(\pi \)
- C \(\frac{\pi}{2}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
\(\left| {\sin \,x} \right| + \left| {\cos \,x} \right|\) is periodic with oeriod \(\frac{\pi }{2}\). Hence, \(f\left( x \right) = \left| {\sin \,4x} \right| + \left| {\cos 2\,x} \right|\) is also periodic function with period \(\frac{\pi }{2}\)
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