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Y and A Tutoring Paper 2 with Answers and Hints · Q11

Paper 2Logic & proofCalculusTrigonometryNumber & counting

Consider the two statements:

R: kk is an integer multiple of π\pi

S: ∫0ksin⁡2x dx=0\int_0^k\sin2x\,\dd x=0

Which of the following statements is true?

AR is necessary and sufficient for S.
BR is necessary but not sufficient for S.
CR is sufficient but not necessary for S.
DR is not necessary and not sufficient for S.

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