What is the amplitude of g(x)=8cos(5pi x+(3pi)/(2))-9? units

Amplitude of cosine function: The amplitude of a cosine function is the coefficient of the cosine term, which is the absolute value of the number that multiplies the cosine function. In the given function g(x) = 8cos(5pi x + (3pi)/(2)) - 9, the coefficient of the cosine term is 8.Finding the amplitude: To find the amplitude, we do not need to consider the horizontal shift, vertical shift, or the period of the function. The amplitude is simply the absolute value of the coefficient of the cosine term, which is already positive in this case. Therefore, the amplitude of g(x) is 8.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the amplitude of

g(x)=8cos(5pi x+(3pi)/(2))-9?
units

What is the amplitude of $\newline$ $g(x)=8 \cos \left(5 \pi x+\frac{3 \pi}{2}\right)-9 ?$ $\newline$ units

View step-by-step help

Home

Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. What is the amplitude of

\newline

g(x)=8 \cos \left(5 \pi x+\frac{3 \pi}{2}\right)-9 ?

\newline

units

Amplitude of cosine function: The amplitude of a cosine function is the coefficient of the cosine term, which is the absolute value of the number that multiplies the cosine function. In the given function $g(x) = 8\cos(5\pi x + \frac{3\pi}{2}) - 9$ , the coefficient of the cosine term is $8$ .
Finding the amplitude: To find the amplitude, we do not need to consider the horizontal shift, vertical shift, or the period of the function. The amplitude is simply the absolute value of the coefficient of the cosine term, which is already positive in this case. Therefore, the amplitude of $g(x)$ is $8$ .