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Trigonometry: Name: _______________________________
Section 1: PPP: A – F Draw All 6 Graphs. State their Period,
Domain, Range, and Even/Odd.
Section 2a: PPP: G – L
Section 2b: PPP: M – T
Section 3a: PPP: U – X
Section 3b: PPP: Y – BB
Section 3c: PPP: CC – GG
Section 4: PPP: HH – NN
Section 5: PPP: OO – WW
Targets:
1. To determine the basic characteristics of the 6 trig functions. (1)
2. To find one trig function given another. (2a)
3. To solve trig equations. (2b)
4. To use compound (+ and - ) trig formulas. (3a and 3b)
5. To use double and half angle formula. (3c)
6. To use special trig formula. (4)
7. To prove trig identities. (5)
Key Terms or Formulas:
- Refer to the Formula Sheet
Assessments:
- 3 marks on Short Question and 6 marks on Short Test 2
Time Period: 3.5 weeks
15
Do
no
t write
in th
is space
Do not write in this space
Diploma, Bilingual Private Schools, Pure Mathematics First Session – First Semester Academic Year: 2014/2015
List of Formulae (2 sheets)
2
Range can also be written as:
-1 < y < 1 -1 < y < 1 - < y <
Range can also be written as:
y < -1 and y > 1 y < -1 and y > 1 - < y <
Consider the following equations. Notice that they are all in the form:
When an equation is in this form, the following are true:
Amplitude = A Phase Shift = C (x – C) means “right” C spaces
Amplitude means from the middle of the graph to the top of the graph.
Find the period, amplitude & phase shift for each equation. (Amplitude only for sin and cos).
1.
2.
3.
4.
Notes for Tan and Cot:
3
Relationships between the 6 trig functions and their angles.
Trigonometry Past Paper Questions:
Section 1: General Information
A. 2011-2012 V1
#5
B. 2015-2016 Mock
#5
C. 2014-2015 V1
#5
D. 2012-2013 V1
#5
E. 2012-2013 V2
#5
F. 2011-2012 V1
#7
Section 2: Solving Trig. Equations
G. 2013-2014 V2
#7
H. 2013-2014 V1
#7
I. 2011-2012 V1
#6
J. 2012-2013 V2
#6
K. 2012-2013 V1
#6
L. 2014-2015 V1
#6
M. 2013-2014 V2
#8
N. 2015-2016 Mock
#7
O. 2014-2015 V1
#7
P. 2012-2013 V2
#7
Q. 2011-2012 V1
Q2c
R. 2012-2013 V1
#7
S. 2013-2014 V1
#8
Section 3: Compound, Double and Half Angle Formulae
T. 2015-2016 Mock
#22
U. 2015-2016 Mock
#6
V. 2013-2014 V2
#25
W. 2013-2014 V1
Q4ai
X. 2014-2015 V1
Q3 #21a
Y. 2015-2016 Mock
#21
Z. 2014-2015 V1
Q3 #20
AA. 2012-2103 V1
Q2c
BB. 2012-2013 V2
Q2c
CC. 2013-2014 V1
#9
DD. 2013-2014 V1
#10
EE. 2012-2013 V1
#8
FF. 2012-2013 V2
#8
GG. 2013-2014 V2
#10
Section 4: Special Forms
HH. 2014-2015 V1
Q3 #21b
II. 2015-2016 Mock
#23
The question should say:
… in the form of (it should have had an R in front of cos)
JJ. 2013-2014 V1
Q2c
KK. 2013-2014 V2
#18
LL. 2011-2012 V1
Q3ai
MM. 2012-2013 V1
Q4ai
NN. 2012-2013 V2
Q4ai
Section 5: Identities
OO. 2015-2016 Mock
#8
PP. 2014-2015 V1
Q1 #8
QQ. 2013-2014 V2
#9
RR. 2015-2016 Mock
#24
SS. 2013-2014 V1
Q4aii
TT. 2014-2015 V1
Q3 #22
UU. 2013-2014 V2
#26
VV. 2012-2013 V1
Q4aii
Hint: Remember that
qq tan)90cot( =-
WW. 2012-2013 V2
Q4aii
Trigonometry:
Section 1: General Information
A. 2011-2012 V1
#5
B. 2015-2016 Mock
#5
C. 2014-2015 V1
#5
D. 2012-2013 V1
#5 cosec x and cot x
E. 2012-2013 V2
#5 sec x and tan x
F. 2011-2012 V1
#7
Section 2: Solving Trig. Equations
G. 2013-2014 V2
#7 y = -3
H. 2013-2014 V1
#7 y = 0.6
I. 2011-2012 V1
#6 3/2
J. 2012-2013 V2
#6 -4/3
K. 2012-2013 V1
#6 -5/4
L. 2014-2015 V1
#6 5/4
M. 2013-2014 V2
#8 120, 240
N. 2015-2016 Mock
#7
O. 2014-2015 V1
#7
P. 2012-2013 V2
#7 100
Q. 2011-2012 V1
Q2c
R. 2012-2013 V1
#7 30
S. 2013-2014 V1
#8 150, 210
p=pp=p
6p
6p
qecy cos=
ecxy cos=
6p
Section 3: Compound, Double and
Half Angle Formulae
T. 2015-2016 Mock
#22
U. 2014-2015 Mock
#6 4/5
V. 2013-2014 V2
#25
W. 2013-2014 V1
Q4ai
X. 2014-2015 V1
#21a
Y. 2015-2016 Mock
#21
Z. 2014-2015 V1
Q3 #20
AA. 2012-2103 V1
Q2c
BB. 2012-2013 V2
Q2c
CC. 2013-2014 V1
#9 q2cot
DD. 2013-2014 V1
#10 16
EE. 2012-2013 V1
#8 q2cos2
1
FF. 2012-2013 V2
#8 q2cos
GG. 2013-2014 V2
#10 Asin2
1
24
Section 4: Special Forms
HH. 2014-2015 V1
#21b
II. 2015-2016 Mock
#23
JJ. 2013-2014 V1
Q2c
KK. 2013-2014 V2
#18
LL. 2011-2012 V1
Q3ai )62.22cos(13 o
-q
MM. 2012-2013 V1
Q4ai
NN. 2012-2013 V2
Q4ai
Section 5: Identities
OO. 2015-2016 Mock
#8 qsin
PP. 2014-2015 V1
#8 qq tansec +
QQ. 2013-2014 V2
#9 q2sin
RR. 2015-2016 Mock
#24
25
SS. 2013-2014 V1
Q4aii
TT. 2014-2015 V1
#22
UU. 2013-2014 V2
#26
VV. 2012-2013 V1
Q4aii
WW. 2012-2013 V2
Q4aii
