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1
HYPOTENUSE, H
ADJACENT (SEBELAH), A
OPPOSITE (SETENTANG), O
Ɵ
c
a
b
Ɵ
PMR
CHAPTER 15: TRIGONOMETRY
Tan Ɵ = oppositeadjacent
Sin Ɵ = oppositehypotenuse
Cos Ɵ = adjacenthypotenuse
PYTHAGORAS’ THEOREM
c2= a2 + b2
c =√a2+b2
PYTHAGORAEN TRIPLES:
5 4 317 8 1513 12 525 7 24
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T – O - A
S – O - H
C – A - H
Remember this !!!!
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2
25 cm
P Q R
S
T
13 cm
mn
DIAGRAM 4
17 cmDIAGRAM 1
P
S
RQ
T
yo
xo
7 cm
13 cm
PMR
Question based on PMR format
1. In Diagram 4, PQR and QST are straight lines. S is the midpoint of QT.
Given that sin m =
1213
a) Find the value of cos n
b) Find the length, in cm, of PR. (3 marks)
2. In Diagram 1, PQR and TSQ are straight lines.
Given that tan xo =
125 ,
a) find the length of PQ.
b) find the value of cos yo. (3 marks)
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3
DIAGRAM 1
20 cm
13 cm
P
S
RQ
u
R
y
P
T
Q
9 cm
5 cm
PMR
3. In Diagram 1 , PQR is a straight line.
Given that cos u0 = 5
13 , calculate the length, in cm, of PQ. (2 marks)
4. Diagram 3 shows two right-angled triangles, PQR and PST.
[Rajah 3 menunjukkan dua buah segitiga bersudut tegak, PQR dan PST.]
It is given that cos y∘=12
13 .
[Diberi bahawa kos y∘=12
13 .]
(a) Find the value of sin x.
[Cari nilai bagi sin x. ]
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S
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4
PMR
(b) Calculate the length, in cm, of QR.[Hitung panjang, dalam cm, QR.]
5. Percubaan Johor 2008 ( 3 marks)
6. Percubaan Melaka 2009 (3 marks)
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5
PMR
7. Percubaan Perak 2010
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6
PMR
8. Percubaan Perlis 2010
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7
PMR
9. Percubaan Kedah 2010
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8
PMR
10. Percubaan Pahang 2010
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