JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

The period of

f(x)=\sin \left(\frac{\pi x}{n-1}\right)+\cos \left(\frac{\pi x}{n}\right), n \in Z, n>2

is:

View answer and explanation

Correct option: C

2 n(n-1)

The correct answer is C (2n(n-1)) because it is the least common multiple of the periods of the sine and cosine functions.

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