Trig Graphs

Drawing and using properties of Trig graphs

1

Sketch the graph of y = cos (x– 90)°, 0 < x < 360

3 Marks

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Max 1, min – 1

Starts at (0, 0)

 increases to (90, 1) 

decreases to (180, 0) 

continues decreasing till (270, –1)

Increases to (360, 0)

2

Sketch the graphs of y = 3 sin2x°, < x < 360°

3 Marks

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Max 3, min – 3

2 sine waves between 0 and 360

3

The graph below shows part of y = a sin bx

State the values of a and b

2 Marks

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a = 5

b = 3

4

The graph below shows part of y = a sin bx

State the values of a and b

2 Marks

Show Answer

a = 4

b = 3

5

Sketch the graphs of y = 4cos3x°, < x < 360°

3 Marks

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Max 4, min –4

3 cos waves between 0 and 360

6

The graph below shows part of y = a sin bx + c

State the values of a, b and c

3 Marks

Show Answer

a = 4

b = 3

c = 2

7

The graph below shows part of y = a sin bx

State the values of a and b

3 Marks

Show Answer

a = 3

b = 2

8

The graph below shows part of y = a cos bx°

State the values of a and b

3 Marks

Show Answer

a = 5

b = 3

9

The graph below shows part of y = a sin bx°

State the values of a and b

3 Marks

Show Answer

a = 4

b = 5

10

The graph below shows part of y = a cos bx°

State the values of a and b

2 Marks

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a = 2

b = 4

11

The graph below shows part of y = a sin x° + c

State the values of a and c

2 Marks

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a = 3

b = 1

12

The graph below shows part of y = tan ax°

State the values of a

1 Mark

Show Answer

a = 2