LEAVING CERT HIGHER LEVEL TRIGONOMETRY

1
LEAVING CERT HIGHER LEVEL TRIGONOMETRY
SUMMARY OF THE SECTIONS IN L.C. TRIG.
Angles on page 9 of tables.
TRIG
More Identities from page 9 of tables
Solving Trig equations.
Limits of Trig functions.
Proofs required.
2
(No Transcript)
3
(x,y)
4
(CosA,SinA)
(x,y)
SinA
CosA
5
(No Transcript)
6
(No Transcript)
7
Use the CD on this
8
(No Transcript)
9
(No Transcript)
10
(No Transcript)
11
Radian Measure
2 rads
1 rad
Length of arc ab 2r
Length of arc r
12
Semi-Circle
Length of semi-circle ?r
?(r)
?r units
? 180? ? radians
13
ANGLES ON PAGE 9 IN TABLES
Link to Java Script.
14
ANGLES gt 900
90o (-270o )
SIN
ALL
180o - ?
?
0o
180o (-180o )
360o
180o ?
360o - ?
TAN
COS
270o (-90o )
Link to Java Script
15
(0,1)
(1,0)
(-1,0)
(0,-1)
16
(No Transcript)
17
(No Transcript)
18
w
w
19
w
w
20
Some common triplets used
5, 12, 13
3 ,4 , 5
6, 8, 10
21
A
HYPOTENUSE
HYPOTENUSE
OPPOSITE
ADJACENT
900
A
900
ADJACENT
OPPOSITE
22
(No Transcript)
23
Note If given ratio always draw right angled
triangle
24
(No Transcript)
25
(No Transcript)
26
It is important to emphasise that in order to use
the area of triangle formula that you need two
sides and the included angle.
27
(No Transcript)
28
(No Transcript)
29
(No Transcript)
30
(No Transcript)
31
Using page 9
32
a
33
A
B
7.4 m
28 m
F
P
34
(No Transcript)
35
(No Transcript)
36
(No Transcript)
37
(No Transcript)
38
w
w
39
(No Transcript)