Consider the following statements Statement I x gt sin x for all x gt 0 Statement II f x x ndash sin...........

Mathematics (NDA) Trigonometry

Consider the following statements:

Statement I: x > sin x for all x > 0

Statement II: f(x) = x – sin x is an increasing function for all x > 0

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

Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I

Both Statement I and Statement II are true and Statement II is not the correct explanation of Statement I

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Both statements are correct but statement 2 is not the correct explanation of statement 1.

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