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Mathematics Form 3 Chapter 5 Trigonometric Ratio

(c) (i) cos 40° = AC CHAPTER
22 HOTS Challenge 6 Angles and Tangents of Circles
AC = 22 cos 40°
AC = 16.85 m Let the length of ladder be x Sudut dan Tangent bagi Bulatan
1.6
cos 65° =
(ii) sin 40° = BC x
22 1.6
BC = 22 sin 40° 0.4226 = x 1. 2.
BC = 14.14 m x = 3.79 m Diagrams Values
nilai
Rajah Relationship
°
DC x( )
tan 52° = between x
14.14 (a) Circles /Bulatan and y
DC = 14.14 tan 52° x Hubungan
DC = 18.10 m antara x dan y
O
40
80°
x
y
x + y = 90°
O
(b)

28
O
x° x y x = y
O

(c)
x
y
28°
42 O
x x = y

2 cm
(d)
x y
x
O
126° 90
x = 2y
6 cm

3. (a) x = 60° ÷ 2 = 30° 4. (a) ∠DCB = 150° ÷ 2 = 75°
(b) Major ∠AOC x = 180° – 75° = 105°
= 360° – 100°
= 260°
x = 260° ÷ 2 = 130° Major ∠DOB = 360° – 150°
= 210°
(c) Minor ∠POQ = 360° – 280° = 80° x = 210° ÷ 2 = 105°
∠ PRQ = 80° ÷ 2 = 40°
x = 180° – 40° =140°

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BOOKLET ANS MATH F3.indd 13 03/01/2020 10:20 AM