Cambridge Additional Mathematics

The unit circle and radian measure (Chapter 8) 221 We define the reciprocal trigonometric functions cosecμ, secantμ, and cotange ...

222 The unit circle and radian measure (Chapter 8) 3 Find: a sin 159± if sin 21±¼ 0 : 358 b cos 92± if cos 88±¼ 0 : 035 c cos 75 ...

The unit circle and radian measure (Chapter 8) 223 5aState the value ofμin: i degrees ii radians. b State the arc length AP. c S ...

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9 Contents: A Periodic behaviour B The sine function C The cosine function D The tangent function E Trigonometric equations F Tr ...

226 Trigonometric functions (Chapter 9) Opening problem A Ferris wheel rotates at a constant speed. The wheel’s radius is 10 m a ...

Trigonometric functions (Chapter 9) 227 On the scatter diagram alongside we plot the temperature T on the vertical axis. We assi ...

228 Trigonometric functions (Chapter 9) TERMINOLOGY USED TO DESCRIBE PERIODICITY Aperiodic functionis one which repeats itself o ...

123 456 78 9 5101520 Trigonometric functions (Chapter 9) 229 EXERCISE 9A 1 Which of these graphs show periodic behaviour? ab cd ...

90° 180° 270° 360° 2 ¼ ¼^32 ¼^2 ¼ 230 Trigonometric functions (Chapter 9) In previous studies of trigonometry we have only consi ...

1 -1 90 ° 90 ° 180 ° 270 ° 360 ° 540 ° ¼ 2 ¼ 2 ¼ 32 ¼ 2 ¼ 3 ¼ 450 ° 2 ¼ -^5 ¼ -180° Trigonometric functions (Chapter 9) 231 ...

232 Trigonometric functions (Chapter 9) 2 Use the software to help complete the table: b Function Maximum Minimum Period Amplitu ...

4 ¼ ¼ 2 ¼ 3 ¼ Trigonometric functions (Chapter 9) 233 Example 1 Self Tutor Without using technology, sketch the following graphs ...

y=2sin3x+1 _wp p E_s_p 2 p 234 Trigonometric functions (Chapter 9) 4 Find the value ofcgiven that the function y= sinx+c has pri ...

Trigonometric functions (Chapter 9) 235 Discovery 4 Modelling using sine functions When patterns of variation can be identified ...

DEMO GRAPHING PACKAGE y a bx c x has a maximum when. = cos + =0 DYNAMIC COSINE FUNCTION 10 y x μ O d y x y=cosx y=sinx O p_pw_w ...

-2 2 3 1 3 -3 ¼ 2 ¼ x y y = 3_¡¡cos2_x O _wp E_s_p 11 y O 2 ¼ 4 ¼ x 33 -2-2 y O 2 ¼ x 2 Trigonometric functions (Chapter 9) 237 ...

P Q,(1tan_μ) A,(1 0) x y μ O P Q,(1tan¡μ) A,(1 0) x y μ O -^32 ¼ -¼ -¼ 2 ¼ 2 ¼^32 ¼ 2 ¼^52 ¼ P Q,(1¡¡tanμ) A,(1 0)¡ x y μ O x y ...

TANGENT FUNCTION DYNAMIC TANGENT FUNCTION ¼ ¼ ¼ ¼ ¼ 4 3 2 2 ¼ 4 3 ¼ 4 ¼ 4 y O x y=tan_2x -_-_¼¼-_-_E_f_E_fp_p -_-_wp ...

CARD GAME (^1) -3 - 3 ¼¼ t y -_3-_3¼¼ -_2-2¼¼ --_¼¼ O 22 ¼¼ 33 ¼¼ GRAPHING PACKAGE 240 Trigonometric functions (Chapter 9) Discu ...