Let f(x) be an indefinite integral of \sin^2x. Consider the following statements: Statement 1: The function f(x) satisfies f(x+\pi)=f(x) for all real x. Statement 2: \sin^{2}(x+\pi)=\sin^{2}x for all real x Which one of the following is correct in respect of the above statements? [NDA I 2017]

Correct Answer is : Statement 1 is false but Statement 2 is true

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

NDA Math Indefinite Integrals

Question : 27 of 38

Marks: +1, -0

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?

[NDA I 2017]

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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