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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

Good Luck (“,)

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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