Page 32 - Hybrid PBD 2022 Form 5 - Mathematics

Matematik Tingkatan 5 Bab 6 Nisbah dan Graf Fungsi Trigonometri
BAB

6 Nisbah dan Graf Fungsi Trigonometri

Ratios and Graphs of Trigonometric Functions

PBD 6.1 Nilai Sinus, Kosinus dan Tangen bagi Sudut q, 0° < q < 360° Buku Teks
PBD
PBD
The Value of Sine, Cosine and Tangent for Angle q, 0° < q < 360° ms. 174 – 183
FOKUS TOPIK Simulasi
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1. Sudut rujukan sepadan, α:
Corresponding reference angle, α:
Sukuan I Sukuan II Sukuan III Sukuan IV
Quadrant I Quadrant II Quadrant III Quadrant IV
y y y y
θ θ θ
θ α x x x
O x O α O O α

α = q α = 180° – q α = q – 180° α = 360° – q

2. Tanda nilai sin q, kos q, tan q: 3. Jika P(x, y) terletak di lilitan suatu bulatan unit yang
Sign of values of sin q, cos q, tan q: berpusatkan asalan, maka
If P(x, y) lies on the circumference of a unit circle with centre at the origin,
90° then
(a) sin q = koordinat-y
Sukuan II Sukuan I
Quadrant II Quadrant I y-coordinate y
sin q (+) sin q (+) (b) kos q = koordinat-x 1
kos q / cos q (−) kos q / cos q (+) cos q = x-coordinate P(x, y)
tan q (−) tan q (+) koordinat-y θ x
(c) tan q = –1 O 1
180° 0° / 360° koordinat-x
Sukuan III Sukuan IV y-coordinate –1
Quadrant III Quadrant IV x-coordinate
sin q (–) sin q (–)
kos q / cos q (−) kos q / cos q (+)
tan q (+) tan q (−)
270°

4. Sudut khusus
Special angles
kos q
q sin q tan q kos q
cos q q sin q tan q
cos q
1 √3 1
30° 0° 0 1 0
2 2 √3
90° 1 0 ∞
1 1
45° 1 180° 0 –1 0
√2 √2
√3 1 270° –1 0 ∞
60° √3
2 2 360° 0 1 0

Trigonometri – Segi Tiga Khusus
Trigonometry – Special Triangles

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