For 0 ≀ π‘₯ ≀ 2πœ‹, sin π‘₯ and cos π‘₯ are both decreasing functions in the interval

Q. For 0 ≀ π‘₯ ≀ 2πœ‹, sin π‘₯ and cos π‘₯ are both decreasing functions in the intervalΒ Β Β Β Β Β 

Ans: Option B

Sol:

Sin x is increasing function in the interval 0 < x < Ο€/2 and in the interval 3Ο€/2 < x < 2Ο€.

Sin x is decreasing function in the interval Ο€/2 < x < 3Ο€/2.

Cos x is increasing function in the interval Ο€ < x < 2Ο€.

Cos x is decreasing function on the interval 0 < x < Ο€.

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