Understanding the B Value in Trigonometric Functions

The video tutorial explains how to graph trigonometric functions by focusing on the change in the period, determined by the B value. It covers graphing sine, tangent, and cosine functions, detailing how to calculate new periods and label axes. The tutorial also discusses the concept of cycles within a period and provides examples for each function.

What does the B value represent in trigonometric functions?

• The vertical shift of the function

• The coefficient of the angle, affecting the period

• The phase shift of the function

• The amplitude of the function

How do you calculate the new period of a sine function when B is 1/2?

• Multiply 2π by 1/2

• Subtract 1/2 from 2π

• Divide 2π by 1/2

• Add 2π to 1/2

In the sine function example, what is the distance between quarter points on the x-axis?

• π/2

• 2π

• 4π

• π

What is the normal period of a tangent function?

• 2π

• π

• π/2

• 4π

How is the period of a tangent function affected when B is 3?

• The period becomes 2π

• The period becomes π/3

• The period remains π

• The period becomes 3π

What is the period of a cosine function when B is 4?

• 4π

• π/2

• π/4

• 2π

In the cosine function example, what is the interval between quarter points on the x-axis?

• π/2

• π/4

• π/8

• π

How many cycles of cosine occur in a typical period when B is 4?

• 3 cycles

• 2 cycles

• 1 cycle

• 4 cycles

If B is 1/2 for a sine function, how many cycles are completed in a typical period of 2π?

• 4 cycles

• 2 cycles

• 1 cycle

• 1/2 cycle

What is another way to think about the B value in trigonometric functions?

• As the amplitude of the function

• As the phase shift of the function

• As the vertical shift of the function

• As the number of cycles in a regular period