Question

How do you sketch sin, cos and tan waves?

Answer 1

To sketch sin, cos, and tan waves, determine the amplitude and period, plot points on a graph, and connect them smoothly.

Step-by-step explanation:

• For a sine wave, start by determining the amplitude (A), which represents the maximum height of the wave. Then calculate the period (T) using 2π divided by the coefficient of x. Use these values to plot points on a graph and connect them smoothly to create a wave.
• For a cosine wave, follow the same steps as for a sine wave, but start with a different phase shift (p) value in the wave function.
• To sketch a tangent wave, start by finding the period using π divided by the coefficient of x. Plot points on a graph using tangent values at regular intervals and connect them.

Answer 2

sin and cos oscillate between -1 and 1 in range
pi/2, pi, 3pi/, 2pi on domain for max/min and roots
in fact 0 to 2pi is the period.
tan domain is -pi/2 <x <pi/2