Page 35 - Hybrid PBD 2022 Form 5 - Mathematics

Matematik Tingkatan 5 Bab 6 Nisbah dan Graf Fungsi Trigonometri
7. Selesaikan masalah berikut. SP 6.1.4
Solve the following problems.

(a) Dalam rajah di bawah, MNP ialah garis lurus. (b) Dalam rajah di bawah, QRST ialah suatu garis
Diberi RM = MN = NP = 7 cm, hitung TP4 lurus dengan QR = RS. Diberi PR = √288 cm dan
In the diagram, MNP is a straight line. Given that RM = MN = ∠RPQ = 50°, tentukan TP5
NP = 7 cm, calculate In the diagram QRST is a straight line with QR = RS. Given
(a) tan x PR = √288 cm and ∠RPQ = 50°, determine
(b) sin y (a) panjang, dalam cm, QS,
the length, in cm, of QS,
y
(b) nilai bagi kos ∠SPQ,
R the value of cos ∠SPQ,
(c) nilai kos x.
the value of cos x.
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x
M 7 cm N P P

50°
RN = √MR + MN
2
2
= √7 + 7 2 288 cm
2
= √98
x
R Q R S T
98 cm
7 cm QR
(a) sin 50° =
√288
M 7 cm N
QR = √288 × sin 50°
= 13 cm

(a) 90° , x , 180° QS = 2QR
Sudut x terletak di sukuan II = 2(13)
Angle x is located in quadrant II = 26 cm
tan x = −tan ∠RNM
7 (b) PQ = (√288) − 13 2
2
2
= −
7 PQ = 119
2
= −1 PQ = √119
(b) 270° , y , 360° PS = (√119) + 26
2
2
2
Sudut y terletak di sukuan IV PS = 795
2
Angle y is located in quadrant IV PS = √795
sin y = −sin ∠MRN PQ
7 kos ∠SPQ =
= − cos ∠SPQ PS
√98 √119
= −0.7071 =
√795
= 0.3869
(c) 90° , x , 180°
Sudut x terletak di sukuan II
Angle x is located in quadrant II
kos x = −kos ∠QSP
cos x = −cos ∠QSP
26
= −
√795
= −0.9221

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