This lesson includes 27 additional questions and 171 additional question variations for subscribers.

# Lesson Worksheet: Graphs of Trigonometric Functions Mathematics

In this worksheet, we will practice graphing trigonometric functions, such as sine and cosine, and deduce their properties.

**Q5: **

Which of these two value tables shows a domain of the tangent function that can be used to construct its inverse function?

Table A

0 | |||||||||

0 | 1 | 12.1 | 0 |

Table B

0 | |||||||||

0 | 1 | 12.1 |

- ATable A
- BTable B

**Q8: **

Consider the following figures (a) and (b).

Which function does the plot in the graph, figure (a), represent?

- Acosine
- Bsine

Assign each region of the plot in figure (a) with the corresponding quadrant of the unit circle in figure (b).

- AA: IV, B: I, C: II, D: III
- BA: II, B: III, C: IV, D: I
- CA: I, B: II, C: III, D: IV
- DA: III, B: IV, C: I, D: II
- EA: I, B: II, C: IV, D: III

**Q9: **

Consider the following figures.

Which function does the plot in the graph, figure (a), represent?

- ASine
- BCosine

Assign each region of the plot in figure (a) with the corresponding quadrant of the unit circle in figure (b).

- AA: I, B: II, C: III, and D: IV
- BA: IV, B: I, C: II, and D: III
- CA: II, B: III, C: IV, and D: I
- DA: I, B: II, C: IV, and D: III
- EA: III, B: IV, C: I, and D: II

**Q10: **

Which function does the plot shown in the graph represent?

- Asine
- Bcosine
- Ctangent

Assign each region of the plot with the corresponding quadrant of the unit circle.

- AA: I, B: II, C: IV, D: III
- BA: I, B: II, C: III, D: IV
- CA: III, B: IV, C: I, D: II
- DA: II, B: III, C: IV, D: I
- EA: IV, B: I, C: II, D: III