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Question

sin(0)=sin(π) => sine function is periodic with period π


  1. True

  2. False


Solution

The correct option is B

False


For a function to be periodic with period p,

f(x+p) must be equal to f(x) for all x in domain.

But sin(π+x) is not always equal to sin(x). So π is not a the period for sine function

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