Understanding Sine and Cosine Functions

The video provides a quick review of sine and cosine values on the unit circle, explaining the characteristics of their graphs, including domain, range, and periodicity. It highlights the similarities between sine and cosine graphs, noting that the cosine graph is a horizontally translated sine graph. The video concludes with AP style questions for practice.

What is the primary focus of the video tutorial?

• Exploring polynomial functions

• Learning about logarithmic functions

• Understanding sine and cosine values on the unit circle

• Solving quadratic equations

What does the sine graph represent?

• A parabola

• A straight line

• A curve that oscillates between positive and negative infinity

• A hyperbola

What is the domain of a sine function?

• All real numbers

• All negative numbers

• Only integers

• All positive numbers

What is the typical range of a sine graph without transformations?

• 0 to infinity

• -2 to 2

• -1 to 1

• 0 to 1

How is the cosine graph related to the sine graph?

• It is a vertical translation of the sine graph

• It is unrelated to the sine graph

• It is a horizontal translation of the sine graph

• It is a reflection of the sine graph

What is the domain of a cosine function?

• All real numbers

• Only integers

• All negative numbers

• All positive numbers

What is the horizontal translation of the cosine graph compared to the sine graph?

• Minus π

• Plus π

• Plus π/2

• Minus π/2

What is the range of a cosine graph without transformations?

• 0 to infinity

• -2 to 2

• -1 to 1

• 0 to 1

What is the period of both sine and cosine graphs?

• 4π

• π

• 2π

• π/2

How would you express the basic equation of a sine function?

• f(θ) = tan(θ)

• f(θ) = θ

• f(θ) = sin(θ)

• f(θ) = cos(θ)