Everything Maths Grade 10

9.With the assistance of the table below sketch the three functions on the same set of axes.

 0 ◦ 45 ◦ 90 ◦ 135 ◦ 180 ◦ 225 ◦ 270 ◦ 315 ◦ 360 ◦

tan 0 1 undefined  1 0 1 undefined  1 0

3 tan 0 3 undefined  3 0 3 undefined  3 0

1

2 tan^0

1

2 undefined 

1

2 0

1

2 undefined 

1

2 0

10.With the assistance of the table below sketch the three functions on the same set of axes.

 0 ◦ 90 ◦ 180 ◦ 270 ◦ 360 ◦

cos 2  1  2  3  2  1

cos+ 4 5 4 2 4 5

cos+ 2 3 2 1 2 3

11.State the coordinates atEand the range of the function.

a)

90 180 270 360

 2

 1

y=cos 1

E

x

y

b)

90 180 270 360

1

2

3

4

y=sin+ 2

E

x

y

c)

90 180 270 360

 3

 2

 1

y=sin^32

E

x

y

Chapter 6. Functions 203