Trigonometry Graphs Review - White Plains Middle School · 2015-03-19 · 11. a) On the same set of...
Transcript of Trigonometry Graphs Review - White Plains Middle School · 2015-03-19 · 11. a) On the same set of...
Name ___________________________________________________ Date ________________ Period _______ Test 11 Review Ms. Williams
Trigonometry Graphs Review
Part I: Multiple Choice. Write the number of the best choice on the line provided. _______ 1. What is the equation for the accompanying graph? (1)
y cos2x (3)
y 2cosx
(2)
y 1
2cosx (4)
y cos1
2x
_______ 2. What is the period of the graph whose equation is
y 3cos2x?
(1) 180° (2) 2 (3) 3 (4) 360°
_______ 3. What is the range of the function
y 5sinx?
(1) 0° ≤ x ≤ 360° (3) -1 ≤ y ≤ 1 (2) 0° ≤ y ≤ 360° (4) -5 ≤ y ≤ 5
_______ 4. Which function has the same period as
y 4cos2x?
(1)
y 4cosx (2)
y 4sinx (3)
y tanx (4)
y tan2x
_______ 5. What is the equation for the accompanying graph? (1)
y 3sin3x
(2)
y 3sinx
(3)
y sin3x
(4)
y sin1
3x
_______ 6. What is the amplitude of the graph of the equation
y 3cos2x?
(1) 1 (2) 2 (3) 3 (4) 180
_______ 7. What is the minimum value in the range of
y 2sinx 3?
(1) 1 (2) 0 (3) -1 (4) -5
_______ 8. For which value of θ is
tan undefined?
(1) 0 (2)
2 (3) π (4) It is never undefined.
Part II: Graphing. For each question in this section, make a table of values and graph the equations. Answer any questions that follow. 9. Graph the equation
y 2sinx 1 in the interval - ≤ x ≤ .
Show work here! 10. Graph the equation xy 2cos in the interval 0 ≤ x ≤ 2π.
Show work here!
11. a) On the same set of axes, graph the equations
y sin1
2x and
y 3cosx in the
interval 0 ≤ x ≤ 2π b) Use the graph from part a to determine how many values of x in the given interval
are solutions to the equation
sin1
2x 3cosx
Show work here!
12. a) On the same set of axes, graph the equations xy tan and
y 1
2cosx in the
interval -2π ≤ x ≤ 2π b) Use the graph from part a to determine how many values of x in the given interval
are solutions to the equation xx 2cos2
1tan
Show work here!
Part III: For each equation, determine the amplitude, range, frequency, and period.
13. xy 5sin2 14.
y 17cosx 15.
y 4sin2
3x
Part IV: Identifying equations of trig graphs. Write an equation for each graph. 16. 17. 18. 19.
Part IV:
Part V: Writing equations of phase shifts.