Question

Find the amplitude of y= 10 cos ø. Then graph the function.

Answer 1

The amplitude is 10

Explanation:

Seeing the equation, |a|= amplitude

y = a sin (bx+c)+d

(sin is example, but it same for all of the trigonometry functions)

Amplitude means the height from the center of the graph

Answer 2

The amplitude of
`\(y = 10 \cos(\theta)\)` is 10. When graphed, the function produces a cosine wave oscillating between -10 and 10 along the vertical axis, with a maximum amplitude of 10.

The amplitude of the function
`\(y = 10 \cos(\theta)\)` is 10. To graph the function, plot points for various values of
`\(\theta\)` and calculate the corresponding y values.

The graph will oscillate between -10 and 10 along the vertical axis, forming a cosine wave with a maximum amplitude of 10. Adjust the range and increments of
`\(\theta\)` based on the desired representation.

In conclusion, the function
`\(y = 10 \cos(\theta)\)` has an amplitude of 10, resulting in a cosine wave oscillating between -10 and 10. The graph visually represents the periodic behavior of the function in the specified range of
`\(\theta\)`.