Everything Maths Grade 11

CHAPTER 16. GEOMETRY 16.6 (c) OC is rotated to OC�with C(−1;−4) and C�(1;4) Copy ΔXY Z onto squared paper. The co-ordinates are ...

16.6 CHAPTER 16. GEOMETRY Point x-coordinate y-coordinate A B C D E F G H F E G H B A C D � � � � � � � � What do you notice abo ...

CHAPTER 16. GEOMETRY 16.6 The distances from theorigin are OS�= (c. OS), OT�= (c. OT) and OU�= (c. OU). S T U S� U� T� 0 1 2 3 ...

16.6 CHAPTER 16. GEOMETRY (c) What are the co-ordinates of the vertices of S�T�U�V�? 2.�ABC is an enlargement of�A�B�C�by a cons ...

CHAPTER 16. GEOMETRY 16.6 (c) What are the co-ordinates of the new vertices? (d) Now draw M��N��P��Q��which is an anticlockwise ...

Trigonometry 17 17.1 Introduction EMBCR Building on Grade 10 Trigonometry, we will look at more general formsof the the basic tr ...

CHAPTER 17. TRIGONOMETRY 17.2 d(θ) = sin2θ e(θ) = sin2, 5 θ Use your results to deduce the effect of k. More practice video so ...

17.2 CHAPTER 17. TRIGONOMETRY Functions of the Formy=cos(kθ) EMBCU In the equation, y = cos(kθ), k is a constant and has differe ...

CHAPTER 17. TRIGONOMETRY 17.2 Table 17.2: Table summarising general shapes and positions of graphs of functions of theform y = c ...

17.2 CHAPTER 17. TRIGONOMETRY b(θ) = tan1θ c(θ) = tan1, 5 θ d(θ) = tan2θ e(θ) = tan2, 5 θ Use your results to deduce the effec ...

CHAPTER 17. TRIGONOMETRY 17.2 Functions of the Formy=sin(θ+p) EMBCW In the equation, y = sin(θ + p), p is a constant and has dif ...

17.2 CHAPTER 17. TRIGONOMETRY Table 17.4: Table summarising general shapes and positions of graphs of functions of theform y = s ...

CHAPTER 17. TRIGONOMETRY 17.2 e(θ) = cos(θ + 180◦) Use your results to deduce the effect of p. More practice video solutions o ...

17.2 CHAPTER 17. TRIGONOMETRY 5 -5 -390-420 -210-240-270-300-330-360 -30-60-90-120-150-180 30 60 90 120 150 180 210 240 270 300 ...

CHAPTER 17. TRIGONOMETRY 17.3 Intercepts For functions of the form, y = tan(θ + p), the details of calculating the intercepts wi ...

17.3 CHAPTER 17. TRIGONOMETRY � A � B � C 45 ◦ Figure 17.7: An isosceles right angled triangle. Take any right-angled triangle w ...

CHAPTER 17. TRIGONOMETRY 17.3 � D � A � B � C 60 ◦ 30 ◦ v a 1 2 a Figure 17.8: An equilateral triangle with one angle bisected. ...

17.3 CHAPTER 17. TRIGONOMETRY and that cos θ is defined as: cos θ = adjacent hypotenuse Therefore, we can write tan θ = opposite ...

CHAPTER 17. TRIGONOMETRY 17.3 Example 1: Trigonometric Identities A QUESTION Simplify using identities: tan^2 θ. cos^2 θ 2.cos^ ...

17.3 CHAPTER 17. TRIGONOMETRY SOLUTION LHS = 1 − sin x cos x = 1 − sin x cos x × 1 + sin x 1 + sin x = 1 − sin^2 x cos x(1 + sin ...