Everything Maths Grade 10

6.The graph below shows a tangent curve with an equation of the formy=atan+q. Two points are
labelled on the curve:Point Ais at(0◦; 0), andPoint Bis at(45◦; 1).
Findaandq.

15 30 45 60 75 90 105 120 135 150 165 180

 4

 3

 2

 1

1

2

3

4

A

B

x

y

7.Given the following graph, identify a function that matches each of the following equations:

90 180 270 360

 3

 2

 1

1

2

3

h(x)

g(x)

f(x)

k(x)

x

y

a) y=sin b)y=^12 sin c) y= 3sin d)y= 2sin

8.The graph below shows functionsf(x)andg(x)

90 180 270 360

 4

 3

 2

 1

1

2

3

4

g(x)

f(x) = 4 sin

x

y

What is the equation forg(x)?

202 6.6. Trigonometric functions