Question 1

Match the following trigonometric functions to their corresponding graphs. 1) $$y = 	an x 2$$) $$y = \cot x 3$$) $$y = -	an x 4$$) $$y = -\cot x. $$Which option correctly matches each function to its graph (A, B, C, D as shown in the first image)?

Accepted Answer

1A, 2D, 3C, 4B

Question 2

Match the following trigonometric functions to their corresponding graphs. 1) $$y = \sec x 2$$) $$y = \csc x 3$$) $$y = -\sec x 4$$) $$y = -\csc x. $$Which option correctly matches each function to its graph (A, B, C, D as shown in the second image)?

Accepted Answer

1A, 2D, 3C, 4B

Question 3

Given the graph in the third image, which of the following equations best represents the function shown?

Accepted Answer

$$y = 2 \cos \left(\frac{\pi}{8}x - \frac{\pi}{2}\right) + 4$$

Question 4

Which equation is represented by the graph shown in the fourth image?

Accepted Answer

$$y = -2 \cos x$$

Question 5

Which equation is represented by the graph shown in the fifth image?

Accepted Answer

$$y = 2 \sin x$$

Question 6

Which equation is represented by the graph shown in the sixth image?

Accepted Answer

$$y = -3 \cos x$$

Question 7

Which equation is represented by the graph shown in the seventh image?

Accepted Answer

$$y = 4 \sin 2x$$

Question 8

Refer to the eighth image. Which equation is represented in the graph shown?

Accepted Answer

$$y = 2 \cos \frac{1}{2}x$$

Question 9

Refer to the ninth image. Which trigonometric function is shown in the graph?

Accepted Answer

$$f(x) = \cos 2x$$

Question 10

Refer to the tenth image. Which equation is represented on the accompanying graph?

Accepted Answer

$$y = 3 \sin x$$

Question 11

In the eleventh image, Eva noticed the pattern shown on an oscilloscope. Which equation best models the graph?

Accepted Answer

$$y = 2 \cos \left(\frac{1}{2}x\right)$$

Question 12

Refer to the twelfth image. Which equation is graphed in the diagram below?

Accepted Answer

$$y = 3 \cos \left(\frac{\pi}{12}x - \frac{\pi}{2}\right) + 2$$

Trigonometric Functions and Their Graphs: Step-by-Step Guidance

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