Use steps I through IV given in Section 3 to draw a sketch of y = sin t for t $\in$[-$\pi$, $\pi$].

Question

Quizplus · Accepted Answer

Step I: Write down the period of the function. The period of the function y=sin(t) is 2π.

Step II: Find the amplitude of the function. The amplitude of the function y=sin(t) is 1.

Step III: Mark the x and y-intercepts. The x-intercepts occur at t=kπ and the y-intercept is at (0,0).

Step IV: Sketch the graph of y=sin(t) by starting at the y-intercept, then going to the x-intercept at t=π/2, then to the maximum value of 1 at t=π, back to the y-intercept at t=3π/2, to the minimum value of -1 at t=2π, and then back to the starting point at t=2π.

Out of the options given, only option B matches this sketch.

Use Steps I Through IV Given in Section 3 to Draw