Introduction to Sine, Cosine, and Tangent Functions and Their Graphs

The video tutorial covers the unit circle and its role in defining trigonometric functions: sine, cosine, and tangent. It explains how these functions are derived from the unit circle and demonstrates their graphical representations. The tutorial also discusses the transformations of these trigonometric graphs, including scaling and translation, and their effects on the graphs' shapes.

What is the radius of the unit circle?

• 0.5 units

• 1 unit

• 2 units

• 3 units

In the unit circle, what does the y-coordinate represent?

• Cotangent of the angle

• Sine of the angle

• Tangent of the angle

• Cosine of the angle

At what angle does the sine function reach its maximum value?

• 270 degrees

• 0 degrees

• 90 degrees

• 180 degrees

Where does the cosine function start on its graph?

• At 1

• At -1

• At 0.5

• At 0

Why does the tangent function have asymptotes?

• Because tangent is zero

• Because cosine is zero

• Because sine is zero

• Because the angle is 180 degrees

What happens to a graph when you multiply the function by a factor outside the brackets?

• It shifts vertically

• It compresses horizontally

• It stretches vertically

• It shifts horizontally

How does adding a constant inside the brackets affect the graph?

• It stretches vertically

• It translates horizontally

• It compresses horizontally

• It translates vertically