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GATE2018-GA-3

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For $0 \leq x \leq 2\pi$,  $\sin x$ and $\cos x$ are both decreasing functions in the interval __________.

  1. $\bigg( 0, \dfrac{\pi}{2} \bigg) \\$
  2. $\bigg( \dfrac{\pi}{2}, \pi \bigg) \\$
  3. $\bigg( \pi, \dfrac{3\pi}{2} \bigg) \\$
  4. $\bigg(\dfrac{3 \pi}{2}, 2 \pi \bigg)$
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