For 0 ≤ 𝑥 ≤ 2𝜋, sin 𝑥 and cos 𝑥 are both decreasing functions in the interval

Q. For 0 ≤ 𝑥 ≤ 2𝜋, sin 𝑥 and cos 𝑥 are both decreasing functions in the interval      

Ans: Option B

Sol:

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

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

Cos x is increasing function in the interval π < x < 2π.

Cos x is decreasing function on the interval 0 < x < π.