Math Problem Statement

y=1/7 sin x what is the amplitude?

Solution

The amplitude of a sinusoidal function is the coefficient in front of the sine or cosine term. For the function:

y=17sin(x)y = \frac{1}{7} \sin(x)

The coefficient in front of the sine function is 17\frac{1}{7}. Therefore, the amplitude is:

Amplitude=17\text{Amplitude} = \frac{1}{7}

Would you like further explanation on how amplitude works or need help with another question?

Related questions:

  1. How does the amplitude affect the graph of a sine function?
  2. What is the period of the function y=17sin(x)y = \frac{1}{7} \sin(x)?
  3. How do you calculate the phase shift of a sine function?
  4. What is the difference between the amplitude and the frequency of a sine wave?
  5. Can you explain how to find the maximum and minimum values of this sine function?

Tip:

Amplitude always represents the "height" from the middle (or equilibrium) line to the peak of the wave.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Amplitude
Sine Function

Formulas

y = A * sin(x)
Amplitude = |A|

Theorems

Amplitude of a sinusoidal function

Suitable Grade Level

Grades 9-11