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# Trigonometry - Finding sides

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by

## Mr Mattock

on 6 September 2016

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#### Transcript of Trigonometry - Finding sides

Trigonometry - Finding sides
Starter
Write down a trigonometric function for these two triangles.
Solving Trigonometric Equations
Solving trigonometric equations
L.O. - Use trigonometric equations
to find missing sides.

9 cm
x
64
o
11 cm
39
o
y
Starter
Write down a trigonometric equation for these two triangles.
9 cm
x
64
o
11 cm
39
o
y
tan 64 =
x
9
sin 39 =
11
y
9 cm
x
64
o
Solving trigonometric equations
9 cm
x
64
o
tan 64 =
x
9
x = 9(tan 64)

x = 18.45273457

x= 18.5 cm
11 cm
39
o
y
Solving Trigonometric Equations
11 cm
39
o
y
sin 39 =
11
y
1 y
sin 39 11
11
sin 39
=
= y
17.47917302= y = 17.5 cm
Main Activity
Find the missing sides on the sheet given.
Main Activity
Find the missing sides on the sheet given.
(a) 2.5

(b) 5.4
(a) 47 km

(b) 17 km
perimeter = 34.23 cm

area = 36.16 cm
2
Plenary
Calculate the area of this regular hexagon.
3 cm
Plenary
Calculate the area of this regular hexagon.
3 cm
23.4 cm
2
Key
Examples

Activity