Let f x be an indefinite integral of sin2x Consider the following statements Statement 1 The functio...........

Mathematics (NDA) Relations and Functions

Let f(x) be an indefinite integral of sin²x. Consider the following statements:

Statement 1: The function f(x) satisfies f(x+π)=f(x) for all real x.

Statement 2:sin²(x+π)=sin²x for all real x

Which one of the following is correct in respect of the above statements?

Both statements are true and Statement 2 is the correct explanation of Statement 1

Both statements are true but Statement 2 is not the correct explanation of Statement 1

?Statement 1 is true but Statement 2 is false

Statement 1 is false but Statement 2 is true

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