Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

1

Solutions to Exercise 15.3 (p. 365−366) from Chow Wai Keung’s Discovering Additional

Mathematics (Textbook)

1(a)

1(b)

(

)

(

)

1(c)

( )

1(d)

1(e)

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

2

1(f)

1(g)

1(h)

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

3

2(a)

( )

( ) ( )

( )( )

2(b)

( )

( )( )

2(c)

( )

( )

( )( )

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

4

2(d)

( ) ( )

( ) ( )

( )( )

2(e)

( )

( )( )

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

5

2(f)

( )

( )( )

3(a)

( )

3(b)

( )

3(c)

( )

3(d)

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

6

3(e)

3(f)

( )

3(g)

( ) ( )

( ) ( )

( )

[ ( )]

3(h)

( ) (

) (

)

[

( )] (

)

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

7

(

)

(

)

4.

( )

( )

( )

Substitute (1) into (2):

( )

( )

5(a)

( )

( )

5(b)

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

8

5(c)

5(d)

5(e)

( )

5(f)

5(g)

5(h)

( )

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

9

6(a)

( )

( )

( )

( )( )

6(b)

( )

( )( )

6(c)

( )

6(d)

( )( )

7(a)

( ) ( )

[( )( )]

( )( )

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

10

7(b)

( )

( )

( )

( )

( )( )

7(c)

( ) ( )

( ) ( )

[( )( )]

( )( )

( )( )

7(f)

8(a)

(

)

8(b)

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

11

(

)

(

)

9(a)

9(b)

(

)

( )

10(a)

(

)

(

)

Dr CK Lee’s Additional Mathematics Classes ( 91473612 or check out http://ascklee.org/)

12

(b)(i)

( )

(b)(ii)

(

)

The End