Learning to Determine the Amplitude and Period of a Sine Function

The video tutorial explains how to determine the amplitude and period of sine and cosine functions. It covers the formulas needed, specifically the absolute value of 'a' for amplitude and '2pi/b' for the period. The tutorial emphasizes understanding these concepts without relying on external aids. It also explains how to identify coefficients 'a' and 'b' in the function's general form and provides examples to calculate amplitude and period. The session concludes with encouragement to practice these calculations.

What is the formula for calculating the period of a sine or cosine function?

• Absolute value of the coefficient of the function

• 2π multiplied by the coefficient of x

• Absolute value of the coefficient of x

• 2π divided by the coefficient of x

Why is it important to memorize the formulas for amplitude and period?

• They are frequently changed in exams

• They are only used in advanced mathematics

• They are specific to sine and cosine functions and not provided on a format sheet

• They are used in all types of functions

In the general form of a sine or cosine function, what does 'a' represent?

• The coefficient of x

• The phase shift

• The constant term

• The coefficient of the function

If a sine function has a coefficient of 3, what is its amplitude?

• 3

• 1/3

• 9

• 0

How do you simplify the period of a function with b = 10?

• π/5

• 5π

• 10π

• π/10