Cambridge Additional Mathematics

GRAPHING PACKAGE ¼ 2 ¼ 3 ¼ ABC 1 1 1 2345678910 y= 04. x y ¼ 2 32 ¼ 52 ¼ yx=cos¡ 11 11 11 22 33 44 55 66 77 99 1010 xx y ...

y x 123456789101112131415 1 0.5 -0.5 -1 yy y=sin2x 11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 xx 11 0.50.5 -1-1 y= ...

w_p GRAPHING PACKAGE Make sure you find the solutions on the given domain. all x 12345678 y 2 3 -1 -2 -3 1 y=tanx 11 22 33 44 55 ...

04 ¼ BTd_p AWd_p OO (0 1), (1 0), (0 -1), (-1 0), &-[[, * &[[, * &--[[, * &[[,- * O () 01 ,¡ () 10 ,¡ ( -1) 0 , ...

Start at and work around to , noting down the angle every time you reach points A and B. ¡ 2 2 ¼ ¼ Start at angle and work aroun ...

GRAPHING PACKAGE 30 ° 210 ° O &],Qw* &-],-Qw* 246 Trigonometric functions (Chapter 9) 6 Solve tanx= p 3 for 06 x 62 ¼. H ...

Trigonometric functions (Chapter 9) 247 We can also use rearrangements of these formulae, such as: sin^2 μ=1¡cos^2 μ tan^2 μ= se ...

248 Trigonometric functions (Chapter 9) 3 Simplify: a 3 tanx¡ sinx cosx b sin^2 x cos^2 x c tanxcosx d sinx tanx e 3 sinx+ 2 cos ...

GRAPHING PACKAGE Trigonometric functions (Chapter 9) 249 Example 15 Self Tutor Simplify: a 2 ¡2 cos^2 μ 1 + cosμ b cosμ¡sinμ cos ...

Example 16 Self Tutor ¼ 0 O 7 ¼ 6 11 ¼ 6 -_Qw O A N P 1 1 M q 2 q q O B Solve for 06 x 62 ¼: a 2 sin^2 x+ sinx=0 b 2 cos^2 x+ co ...

-4¼ - 2 ¼ 2 ¼ 4 ¼ x 6 4 2 y O x y -4-4¼¼ -2-2¼¼ O 22 ¼¼ 44 ¼¼ 5 ¼ Qw^3 ¼ 3 O ¼ O Trigonometric functions (Chapter 9) 251 b 2 cos ...

10 20 5 y -5 O 10 20 x x y=cosx 100° 200° 300° 400° 500° 600° 700° 800° -1 -0.5 0.5 1 y xx y=y=coscosxx yy 100°100° 200°200° 300 ...

-1 -0.5 x 0.5 1 y x y=sin_&^* 3 -7 -6 -5 -4 -3 -2 -1 1234567 y x ¼ 2 ¼ 3 ¼ 1 -3 Trigonometric functions (Chapter 9) 253 2 Fi ...

254 Trigonometric functions (Chapter 9) 11 Expand and simplify if possible: a (2 sin®¡1)^2 b (cos®¡sin®)^2 12 Show that: a cosμ ...

10 Counting and the binomial expansion Contents: A The product principle B Counting paths C Factorial notation D Permutations E ...

256 Counting and the binomial expansion (Chapter 10) Opening problem Things to think about: a If each committee member shakes ha ...

CHE059• A B CHE059CHE059•• P Q R S P Q R S Counting and the binomial expansion (Chapter 10) 257 Example 1 Self Tutor P, Q, R, an ...

258 Counting and the binomial expansion (Chapter 10) The word and suggestsmultiplyingthe possibilities. The word or suggestsaddi ...

nn!is read “ factorial”. P Q Q P A B C E D Counting and the binomial expansion (Chapter 10) 259 cd 2 Katie is going on a long jo ...

260 Counting and the binomial expansion (Chapter 10) EXERCISE 10C.1 1 Findn!for n=0, 1 , 2 , 3 , ...., 10. 2 Simplify without us ...