Question 1

Which trigonometric function is represented by the first graph (red curve) in the images provided?

Accepted Answer

$$\sec(x)$$

Question 2

Which trigonometric function is represented by the second graph (blue curve) in the images provided?

Accepted Answer

$$\csc(x)$$

Question 3

The third graph (green curve) in the images provided shows a function with vertical asymptotes at $$x = \frac{\pi}{2} + k\pi. $$Which function is this?

Accepted Answer

$$	an(x)$$

Question 4

The fourth graph (green curve) in the images provided shows a function with vertical asymptotes at $$x = k\pi. $$Which function is this?

Accepted Answer

$$\cot(x)$$

Question 5

Which of the following statements is true about the period of the function shown in the third image?

Accepted Answer

The period is $$\pi.$$

Question 6

Which function has vertical asymptotes at every integer multiple of $$\pi$$ and passes through the origin?

Accepted Answer

$$\cot(x)$$

Question 7

Which function has a range of $$(-\infty, -1] \cup [1, \infty)$$ and vertical asymptotes at $$x = \frac{\pi}{2} + k\pi$$?

Accepted Answer

$$\sec(x)$$

Question 8

Which function has a range of $$(-\infty, -1] \cup [1, \infty)$$ and vertical asymptotes at $$x = k\pi$$?

Accepted Answer

$$\csc(x)$$

Question 9

Which function is undefined at $$x = 0$$ and has zeros at $$x = \frac{\pi}{2} + k\pi$$?

Accepted Answer

$$\cot(x)$$

Question 10

Which function is odd and has a period of $$\pi$$?

Accepted Answer

$$	an(x)$$

Trigonometric Functions: Graphs, Properties, and Transformations

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