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Study Guide : Online Trigonometry help and tutoring

Learner Guide

 

Trigonometry

 

Online Trigonometry help and tutoring


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. So learn trigonometry

formulas well. Start with learning all the basic trigonometry.

 

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 labeling the different sides of the triangle with respect to the angle.

 

a1

 

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.


a2

 

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.


a3

 

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:

a4

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!

 

50°

 

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?

 

a5

 

a6

We use the Cos rule because Cos(x) = Adjacent ∕ Hypotenuse

 

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Related Topics


Basic-geometry                                       Pythagoras                                            Shapes

 



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