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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