Table of Contents
Unit 1 | Algebra
Unit 2 |Graphs
Page 1 | Straight line graphs
Page 2 | Graphs of Quadratic functions
Unit 3 |Geometry and Measure
Page 2 | Symmetry
Page 3 | Coordinates
Page 4 | Perimeter, Area, Volume
Page 6 | Measurement
Page 7 | Trigonometry
Page 8 | Pythagoras
Page 9 | Angles
Page 10 | Shapes
Page 11| Time
Page 12 | Locus
Unit 4 | Numbers
Page 1 | Speed, Distance and time
Page 2 | Rounding and estimating
Page 3 | Ratio and proportion
Page 5 | Powers and roots
Page 7 | Positive and negative numbers
Page 8 | Basic operations
Page 9 | Fractions
Page 10 | Percentages
Unit 5 | Statistics and Probability
Page 1 | Sampling data (MA)
Page 2 | Recording and representing data
Page 3 | Mean median range and mode
Page 4 | Standard deviation
Unit 4 | Calculus
L.O To be able to find lengths of right angled triangles using SOH-CAH-TOA
This method is used to work out the lengths and angles of right angled triangles when you may not be able to apply Pythagoras to it. Now you will use the sin, cos and tan buttons on your calculator. These tell you how to work out lengths as a ratio of two other lengths using the angle present.
Before even using sin, cos and tan you must be comfortable labelling the different sides of the triangle with respect to the angle.
Always label the hypotenuse the first as it is the most obvious; the longest side.
Adjacent means ‘next to’, so the side next to the angle is labelled Adj.
Then the remaining side is Opp.
Here the angle marked is in a different place so the side reverse a little.
Again label the hypotenuse first, then the opposite and adjacent sides will be more clear.
This is the standard triangle we started with in Pythagoras.
The angle marked is a right angle so we use the standard sides we learnt initially.
Now applying the functions:
These are the rules that you will need to learn when tackling problems
Sin(x) = Opposite ∕ Hypotenuse
Cos(x) = Adjacent ∕ Hypotenuse
Tan(x) = Opposite ∕ Adjacent
This will all become clearer when we try some problems… don’t worry!
Firstly label the length and the unknown side with A,H or O.Now using your formulas which function uses the sides Hyp and Adjacent ?