Question

A sine curve with no horizontal shift has a frequency of and rises 3 units above its midline,

which is at y = 1. Write a trigonometric equation to describe the function.

Answer 1

The trigonometric equation to describe the sine curve with no horizontal shift, a frequency of 1, and a midline at y = 1 is y(x) = 3 sin(2πx) + 1.

Step-by-step explanation:

To describe a sine curve with no horizontal shift, a frequency of 1, and a midline at y = 1, we can use the equation y(x) = A sin(2πft) + C.

Since the midline is at y = 1, C = 1. Since the curve rises 3 units above the midline, the amplitude is A = 3.

Therefore, the trigonometric equation to describe the function is y(x) = 3 sin(2πx) + 1.