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Table of Contents

 

 Unit 1 | Algebra

Page 1 | Expressions and Formulae

Page 2 | Index notation

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

 Unit 2 |Graphs

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

Unit 3 |Geometry and Measure

Page 1 | Transformations

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 5 | Circle geometry

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 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 6 | Decimals

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

Trigonometry



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!

Example 1:

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 ?

 

 

 

 

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