Sketch one cycle of the sine curve y = -3 sin 4 theta

Solution:

Given y = -3 sin 4θ

If cycle means period, here,

the period = (2π)/4 = π/2

Considering one cycle θ ∈ [0, π/2],

One cycle of the sine curve y = -3 sin 4 theta is drawn.

Sketch one cycle of the sine curve y = -3 sin 4 theta

Summary:

One cycle of the sine curve y = -3 sin 4 theta is drawn.