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Let f(x) be an indefinite integral of sin² x. 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) = sin² x for all real x. Which one of the following is correct in respect of the above statements?

Mathematics 2017 NDA Mathematics 2017 NDA 2017

Options

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

Both the 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