trigonometry triangle measure. 1. measuring right-angled triangles what can be said about these...

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Trigonometry triangle measure

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Page 1: Trigonometry triangle measure. 1. measuring right-angled triangles What can be said about these triangles? Can you find all the missing angles and sides?

Trigonometry

triangle measure

Page 2: Trigonometry triangle measure. 1. measuring right-angled triangles What can be said about these triangles? Can you find all the missing angles and sides?

1. measuring right-angled triangles• What can be said about these triangles? Can you find

all the missing angles and sides?

30°

30°

30°

30°

1cm

0.5cm

3cm

2.5cm

5cm

Page 3: Trigonometry triangle measure. 1. measuring right-angled triangles What can be said about these triangles? Can you find all the missing angles and sides?

b

a

cA

C

B

Page 4: Trigonometry triangle measure. 1. measuring right-angled triangles What can be said about these triangles? Can you find all the missing angles and sides?

• which ratio? which sides/angles?• calculator use – sin or sin-1?• finding the length ‘on the bottom’ of the ratio

• problem solving: where is the triangle?

Page 5: Trigonometry triangle measure. 1. measuring right-angled triangles What can be said about these triangles? Can you find all the missing angles and sides?

A practical problem

• How high is ….

Page 6: Trigonometry triangle measure. 1. measuring right-angled triangles What can be said about these triangles? Can you find all the missing angles and sides?
Page 7: Trigonometry triangle measure. 1. measuring right-angled triangles What can be said about these triangles? Can you find all the missing angles and sides?

Generalising trigonometric functions

• How to interpret sin/cos/tan for angles greater than 90°?

• unit circle app

Page 8: Trigonometry triangle measure. 1. measuring right-angled triangles What can be said about these triangles? Can you find all the missing angles and sides?

‘special’ angles: 45°, 60°, 30° (π/4, π/3, π/6)

1

45°

60° 60°

1