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Question

Statement I: Period of sinx is 2π.
Statement II: P is period of f(x) if f(x+P)=f(x) for any value of x.

A
I is true, II is true.
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B
I is true, II is false.
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C
Both I and II are false.
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D
I is false , II is true.
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Solution

The correct option is A I is true, II is true.
Statement I: Period of sinx=2π, which is true
Statement II: p is a period of f(x), if f(n+p)=f(x) for any value of x.
f(x+p)=f(x) for any x
e.g. sinx has a period of 2π
which means sin(2π+π3)=sinπ3=32

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