PRE-TEST (secant, cosecant, cotangent)

Class Number - Last Name, Given Name (B01 - Dela Cruz, Juan M.)

Grade and Section

• 10 - Einstein
• 10 - Galilei
• 10 - Newton

1. In the equation below, what will happen to the behavior of the cosecant graph if variable A is increased? Assume that all of the remaining variables are constant.

• A. The amplitude will stretch vertically.
• B. The period will shrink horizontally.
• C. The period will stretch horizontally.
• D. The vertical shift will move to the right.

2. Which of the following statements is TRUE?

• A. The graph of all trigonometric functions have asymptotes.
• B. The graphs of sine, cosine, and tangent have asymptotes
• C. The graphs of tangent, cosecant, secant, and cotangent have asymptotes.
• D. Only the graphs of cosecant, secant, and cotangent have asymptotes.

3. Ana used Desmos graphing tool to know the behavior of a cosecant graph. As she increases the variable C, what do you think will happen to the movement of the graph?

• A. The phase shift will move to the left.
• B. The phase shift will move to the right.
• C. The phase shift will move upwards.
• D. The phase shift will not move.

4. Which of the following functions represents the graph below?

• A. y = 2 csc (2(x+3)) + 1
• B. y = 3 csc (2(x+3))
• C. y = -3 csc (2(x+4))
• D. y = 3 csc (2(x+4)) + 1

5. Which of the following statement/s is/are TRUE? I. When the amplitude of sine increases, the amplitude of cosecant decreases. II. The cosecant graph has vertical asymptotes wherever the sine graph crosses the x-axis.

• A. Both statements are true.
• B. The first statement is true; the second statement is false.
• C. The first statement is false; the second statement is true.
• D. Both statements are false.

6. Which of the following statement/s is/are TRUE? I. Secant function is an even function and its graph is symmetric with respect to the y-axis. II. Secant function neither has a maximum or a minimum value limit.

• A. Both statements are true
• B. The first statement is true; the second statement is false.
• C. The first statement is false; the second statement is true.
• D. Both statements are false.

7. Which of the following functions represents the graph below?

• A. 2 sec (2(x+1)) +1
• B. 2 sec (x+1) + 2
• C. 3 sec (2(x+1)+1
• D. 3 sec (x+1) + 1

8. How does the graph of y = 3 sec(x) + 3 compare to the graph of y = sec(x)?

• A. It is shifted down by 3 units and 3 units left.
• B. It is shifted to the right by 3 units and a vertical stretch by a factor of 3.
• C. It is vertically stretched by a factor of 3 and shifted upward by 3 units.
• D. The graphs are identical