Trigonometric Graphs and Transformations

The video tutorial covers the analysis and drawing of trigonometric graphs, focusing on tan and cos functions. It explains the concept of periods, parameters affecting graphs, and how to use a calculator for plotting. The tutorial also discusses determining the range of a graph, shifting graphs, and solving equations to find specific graph values.

What is the domain of the tan graph discussed in the video?

• 0 to 180

• -90 to 180

• 90 to 270

• -180 to 90

What is the period of a normal tan graph?

• 180

• 270

• 360

• 90

Which parameter affects the period of a trigonometric graph?

• P

• Q

• K

• X

If K is 2 in a cos graph, what is the new period?

• 90

• 180

• 360

• 45

What is the first step in drawing a graph using a calculator?

• Set the calculator to graph mode

• Set the calculator to normal mode

• Set the calculator to table mode

• Set the calculator to scientific mode

What is the range of the graph G?

• Y is an element from 0 to 1

• Y is an element from -1 to 1

• Y is an element from -1 to 0

• Y is an element from -2 to 2

How is the graph G transformed to form graph H?

• Shifted 45° to the right

• Shifted 45° to the left

• Shifted 90° to the left

• Shifted 90° to the right

What is the equation of H after transformation?

• H(x) = cos(2x)

• H(x) = -cos(2x + 90)

• H(x) = sin(2x)

• H(x) = -sin(2x)

In which interval is the tan graph greater than 1?

• X is an element from 0 to 45

• X is an element from -45 to 0

• X is an element from -90 to -45

• X is an element from 45 to 90

What is the solution for 2 cos 2x - 1 > 0?

• X is an element from -30 to 30

• X is an element from -45 to 45

• X is an element from -60 to 60

• X is an element from -90 to 90