Everything Maths Grade 10

90 180 270 360

 4

 3

 2

 1

1

2

3

4

g(x) =j,8cos

f(x)

x

y

What is the equation forf(x)?

37.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

2 tan 0 2 undefined  2 0 2 undefined  2 0

1

3 tan^0

1

3 undefined 

1

3 0

1

3 undefined 

1

3 0

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

 0 ◦ 90 ◦ 180 ◦ 270 ◦ 360 ◦

sin+ 1 1 2 1 0 1

sin+ 2 3 2 2 1 2

sin 2  2  1  2  3  2

39.Sketch graphs of the following trigonometric functions for 2 [0°; 360°]. Show intercepts and asymptotes.

a) y= 4 cos b)y=sin 2 c) y= 2 sin+ 1d)y=tan+ 2 e)y=

cos
2
40.State the coordinates atEand the range of the function.

a)

90 180 270 360

 3

 2

 1

1

2

3

y= 2sin

E

x

y

224 6.8. Chapter summary