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Nayland College - Mathematics

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Trigonometry

Triangles HOME | Achievement Criteria | Pythagoras | Trigonometry | Area | Sin Rule | Cosine Rule | Revision

2

Trigonometry

Using trigonometry to find the length of a side in a right angle triangle. Finding the size of an angle in a right angle triangle

 

MR Notes, Blank notes

p402 Ex 28.01 find side
p404 Ex 28.02 find angle
p406 Ex 28.03 Applications

p414 Ex 29.01

p132
3

Applications & trigonometry practice

Solving Pythagoras and trigonometric application problems including elevation & depression problems, nagigation and berings Trigonometry

 

Khan Academy Trigonometry Video Iintroduction, Example, Another Example

MR notes, Blank notes

p412 Ex 29.01 3D Situations,
p414 Ex 29.02 With angles,
p417 Ex 29.03 Lines & Planes,
p419 Ex 29.04 Planes,
p420 Ex 29.05 Mixed

p416 Ex 29.02
p419 Ex 29.03

 

Finding a side

1) Label triangle

2) Cross of the irrelevant side

3) Select trig rule

4)Substitute in known values

5)Cover unknown & solve

6)Working rounding units

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Finding angles

Trigonometry can be used to find the angle in a triangle

1) Label triangle

2) Select trig rule

3) Inverse function

4) Working & Answer

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Side Applications

A boat sails from port on a bearing of 058 for 4.8 km
How far north of port is the boat now?

Form a triangle

Which trig rule?

Answer

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Angle Applications

A boat sails from port North for 2.8 km, then west for 4km
What is the bearing back to port now?
Form a triangle

Which trig rule?

Working

Answer

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Pythagoras 3D Applications

Pythagoras in a 3D shape with right angles

Find length EC

Find base Diagonal

Answer

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Trigonometry 3D Applications

Trig in a 3D shape with right angles

Find Angle CEG

Find base Diagonal

Find Angle

Review

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A Projection onto a Plane

The projection of a line AG onto a plane

Plane EFGH

Plane CDHG

Plane ADHE

Plane ABCD

Plane BCGF

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