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NAME __________________________________ CLASS ________
PIETERMARITZBURG GIRLS’ HIGH SCHOOL
CLASS TEST
GRADE 10
TOPIC: TRIG GRAPHS
TIME: 50 mins
50 Marks
INSTRUCTIONS
You may work in pairs, but EACH PERSON must hand in an answer sheet
QUESTION 1
1.1
Draw the graphs y = 2 sin x and y = tan x (use the computer!).
(Ask a teacher to mark on this paper that you have done this correctly)
(4)
1.2
Give the range of y = 2 sin x _________________
(2)
1.3
Give the amplitude of y = 2 sin x
_______
(1)
1.4
What is the period of y = tanx?
_________
(1)
1.5
From your graph find the value of 2 sin150° _______
1.6
Give the approximate co-ordinates where 2 sinx = tanx
(2)
______________________
(4)
1.7
For what values of x is tan x = – 1? ____________
1.8.1
What changes (if any) will occur in the period of y = 2 sin x if the equation
became y = 2 sin x +?
_____________________________________________
(1)
1.8.2
What changes (if any) will occur in the x intercepts of y = 2 sin x if the equation
became y = 2 sin x +1?
1.8.3
(4)
__________________________________
(1)
Give the co-ordinates of the maximum and minimum values for y = 2 sin x +1
______________________________
1.9
Write the values of x where the asymptotes occur for
y = tan x
1.10
(4)
________________
(4)
If the graph y = tanx – 2 was drawn, what would the value of y be when
x = 45°and x = 135°?
Write your answers as number pairs. ________________________
(4)
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QUESTION 2
2.1.
Use the computer to draw the graphs y = 3 cos x; y = cos 3x and y = cos x + 3
(Ask a teacher to mark on this paper that you have done this correctly)
(6)
NOTE FOR THESE 3 GRAPHS, THE QUESTIONS ONLY REQUIRE AN ANSWER FROM
THE INTERVAL 0° TO 360°. i.e. [0° ; 360°]
Fill your answers in the table below:
y = 3 cos x
y = cos 3x
y = cos x + 3
2.2
How many completed waves of
the graph occur in each graph? Fill in
the missing word in the following
sentence: We call this the __________
of the graph.
2.3.1
Tick the graph with the highest
maxium values
2.3.2 Give the co-ordinates of
this/these point(s)
2.4 Give the amplitude of each graph.
2.5 How many x co-ordinates are
there for each graph?
2.5 Give the values of x where cos 3x = 3 cos x
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