Sine and Cosine Function Concepts

The video tutorial explains how to graph the parent functions of sine and cosine using points from the unit circle. It covers the quadrantal angles and how they relate to the Y values for sine and X values for cosine. The tutorial also discusses the domain, range, amplitude, and period of these functions, emphasizing that both graphs extend infinitely in both directions. The sine and cosine functions have a period of 2π, and their range is between -1 and 1.

What is the primary source for obtaining points to graph the sine and cosine functions?

• The Cartesian plane

• The unit circle

• The quadratic formula

• The Pythagorean theorem

Which values correspond to the sine function when graphing?

• X values

• W values

• Z values

• Y values

At what angle does the sine function have a value of 1?

• 180 degrees

• 270 degrees

• 90 degrees

• 0 degrees

What is the value of the sine function at 3π/2 radians?

• 2

• -1

• 0

• 1

For the cosine function, what do the outputs correspond to?

• W values

• X values

• Y values

• Z values

What is the cosine value at 0 radians?

• 2

• 1

• 0

• -1

At which angle does the cosine function return a value of -1?

• 3π/2 radians

• π radians

• π/2 radians

• 0 radians

What is the range of both sine and cosine functions?

• 0 to 1

• -2 to 2

• 0 to 2

• -1 to 1

What is the domain of the sine and cosine functions?

• 0 to 2π

• -π to π

• All real numbers

• 0 to π

What is the amplitude of the sine function?

• 2

• 3

• 0

• 1