Trigonometry Graphs Review - White Plains Public Schools
Name ___________________________________________________ Test 11 Review
Date ________________ Period _______ 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 cosx 2
(4) y cos1 x 2
_______ 2. What is the periodof 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 4sin x (3) y tan x
(4) y tan2x
_______ 5. What is the equation for the accompanying graph?
(1) y 3sin3x
(2) y 3sin x
(3) y sin3x
(4) y sin 1 x 3
_______ 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 2sin x 3?
(1) 1
(2) 0
(3) -1
(4) -5
_______ 8.
For which (1) 0
value
of
is(2ta)nundefin ed?
(3)
2
(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 2sin x 1 in the interval - x . Show work here!
10. Graph the equation y cos2x in the interval 0 x 2. Show work here!
11. a) On the same set of axes, graph the equations y sin 1 x and y 3cosx in the 2
interval 0 x 2
b)
Use the graph from are solutions to the
part a to equation
determine how 1
sin x 3cosx
many values
of
x
in
the
given
interval
2
Show work here!
12. a) On the same set of axes, graph the equations y tan x and y 1 cosx in the 2
interval -2 x 2
b) Use the graph from part a to determine how many values of x in the given interval
are solutions to the equation tan x 1 cos2x
2
Show work here!
Part III: For each equation, determine the amplitude, range, frequency, and period.
13. y 2sin5x
14. y 17cosx
15.
2 y 4 sin x
3
Part IV: Identifying equations of trig graphs. Write an equation for each graph.
16.
17.
18.
19.
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