Page 38 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

Tg 4
CHAPTER
6 Trigonometric Functions

SMART

Important Learning Standards Page
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6.1 Positive Angles and • Represent positive angles and negative angles in a Cartesian Plane. 343
Negative Angles

• Relate secant, cosecant and cotangent with sine, cosine and tangent
6.2 Trigonometric of any angle in a Cartesian plane. 345
Ratios of any Angle
• Determine the values of trigonometric ratios for any angle. 346

• Draw and sketch graphs of trigonometric functions:
(i) y = a sin bx + c
(ii) y = a cos bx + c 351
6.3 Graphs of Sine, (iii) y = a tan bx + c
Cosine and where a, b and c are constants and b . 0.
Tangent Functions
• Solve trigonometric equations using graphical method. 355

• Derive basic identities:
(i) sin A + cos A = 1 357
2
2
2
(ii) 1 + tan A = sec A
2
6.4 Basic Identities (iii) 1 + cot A = cosec A
2
2
• Prove trigonometric identities using basic identities. 358
• Prove trigonometric identities using addition formulae for 358
6.5 Addition Formulae sin (A ± B), cos (A ± B) and tan (A ± B).
and Double Angle • Derive double angle formulae for sin 2A, cos 2A and tan 2A. 360
Formulae
• Prove trigonometric identities using double-angle formulae. 362

6.6 Application of • Solve trigonometric equations. 364
Trigonometric
Functions • Solve problems involving trigonometric functions. 366

Words

• Degree / Darjah • Complementary angle / Sudut pelengkap
• Radian / Radian • Basic identities / Identiti asas
• Trigonometric ratio / Nisbah trigonometri • Addition formulae / Rumus sudut majmuk
• Quadrant / Sukuan • Double angle formulae / Rumus sudut berganda
• Reference angle / Sudut rujukan • Half angle formula / Rumus sudut separuh

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