Chapter 9 Trigonometric Ratios - Year 1

Question 1

What is the sine rule for length?

Answer 1

Question 2

What is the sine rule for the angle?

Answer 2

Question 3

What is the cosine rule for the length?

Answer 3

Question 4

What is the cosine rule for the angle?

Answer 4

Question 5

What is important to remember about the sine rule?

Answer 5

It is opposite angle and side
Whatever you are working out goes on the top (length or angle)

Question 6

What do you need to remember about bearings?

Answer 6

If it is only 2 digits it needs a 0 in front
You also need the degrees sign

Question 7

What is special about the sine function output?

Answer 7

It may have 2 answers

Question 8

In terms of sine, what answer will your calculator give you?

Answer 8

The acute angle

Question 9

What is a common way that you will need to know to decide to use the obtuse or acute angle using sine?

Answer 9

It may be in the diagram

Question 10

How do you work out the obtuse angle when sine is used?

Answer 10

You do 180-x

Question 11

What is the area of a right angled triangle?

Answer 11

A=0.5(BXH)

H must be the perpendicular height

Question 12

How do you work out the area of a non right angled triangle?

Answer 12

A=0.5ab(sinc)

Question 13

Draw the sine wave

Answer 13

Question 14

Draw the cosine wave?

Answer 14

Question 15

Draw the tan graph?

Answer 15

Question 16

What is the period of the sine wave?

Answer 16

360

Question 17

What is the period of the cosine wave?

Answer 17

360

Question 18

What is the period of the tan graph?

Answer 18

180

Question 19

What does the period of a graph mean?

Answer 19

How often it repeats itself

Question 20

Need to learn how to read of values on the sine graph

Question 21

What are the roots of the tan graph?

Answer 21

0,180,-180

Question 22

What is the range of the tan graph?

What implications does this means?

Answer 22

All real values of x
So it has no min/max values

Question 23

Where are the asymptotes of the tan graph?

Answer 23

-270,-90,90,270

Question 24

Give an example of how you would explain a transformation?

Answer 24

A stretch (parallel to the y axis) with a magnitude of 4

Question 25

What does a graph of -tan(x) look like?

Answer 25

Question 26

What does the graph of sin(x/2) look like?

Answer 26

Question 27

When drawing a graph what is a common mistake?

Answer 27

You stop at 315 when it asks you to do it in the range 0<x<360

Question 28

If you are told that sinx=49.8 how so you substitute into the equation 0.5absinc?

Answer 28

0.5ab49.8

The number just replaces the sinC