Sine Function Concepts and Values

This video tutorial explains how to graph the sine function using the unit circle. It covers the necessary materials, reviews unit circle values, and explains sine values in different quadrants. The tutorial provides a step-by-step guide to graphing y = sin(x), including calibrating axes and plotting points. It discusses the characteristics of the sine wave, such as concavity and inflection points, and explains the domain and range of the sine function.

What is the primary focus of the video tutorial?

• Graphing y = sin(x)

• Graphing y = cot(x)

• Graphing y = cos(x)

• Graphing y = tan(x)

In which quadrants is the sine function positive?

• Quadrants I and IV

• Quadrants I and II

• Quadrants II and III

• Quadrants III and IV

What is the sine value at pi/2?

• 0

• 1

• 0.5

• -1

What is the sine of 5pi/6?

• 1/2

• -1/2

• 0

• 1

What is the sine value for pi/4?

• sqrt(2)/2

• sqrt(3)/2

• 0

• 1/2

What is the sine of 4pi/3?

• -1/2

• 1/2

• -sqrt(3)/2

• sqrt(3)/2

Which of the following is a summary of the axis family sine values?

• Positive or negative 1/2

• Positive or negative sqrt(2)/2

• Positive or negative sqrt(3)/2

• 1, -1, or 0

What is the least common denominator used for calibrating the x-axis?

• 6

• 8

• 12

• 10

What is the decimal approximation of sqrt(3)/2?

• 0.5

• 0.707

• 0.866

• 1

What is the sine value at 3pi/4?

• 1

• 0.866

• 0.707

• 0.5