Chapter 9 Trigonometric Ratios - Year 1 Flashcards
What is the sine rule for length?
What is the sine rule for the angle?
What is the cosine rule for the length?
What is the cosine rule for the angle?
What is important to remember about the sine rule?
It is opposite angle and side
Whatever you are working out goes on the top (length or angle)
What do you need to remember about bearings?
If it is only 2 digits it needs a 0 in front
You also need the degrees sign
What is special about the sine function output?
It may have 2 answers
In terms of sine, what answer will your calculator give you?
The acute angle
What is a common way that you will need to know to decide to use the obtuse or acute angle using sine?
It may be in the diagram
How do you work out the obtuse angle when sine is used?
You do 180-x
What is the area of a right angled triangle?
A=0.5(BXH)
H must be the perpendicular height
How do you work out the area of a non right angled triangle?
A=0.5ab(sinc)
Draw the sine wave
Draw the cosine wave?
Draw the tan graph?
What is the period of the sine wave?
360
What is the period of the cosine wave?
360
What is the period of the tan graph?
180
What does the period of a graph mean?
How often it repeats itself
Need to learn how to read of values on the sine graph
What are the roots of the tan graph?
0,180,-180
What is the range of the tan graph?
What implications does this means?
All real values of x
So it has no min/max values
Where are the asymptotes of the tan graph?
-270,-90,90,270
Give an example of how you would explain a transformation?
A stretch (parallel to the y axis) with a magnitude of 4
What does a graph of -tan(x) look like?
What does the graph of sin(x/2) look like?
When drawing a graph what is a common mistake?
You stop at 315 when it asks you to do it in the range 0<x<360
If you are told that sinx=49.8 how so you substitute into the equation 0.5absinc?
0.5ab49.8
The number just replaces the sinC
