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Introduction to Trigonometry

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by

Mr Mattock

on 15 November 2018

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Transcript of Introduction to Trigonometry

Introduction to Trigonometry
Starter
Draw these triangles in your books and measure the marked angles. What do you notice?
Which function?
Which function links the marked angle to these sides?
Relationship between sides and angles.
8 cm
4 cm
10 cm
5 cm
Starter
Draw these triangles in your books and measure the marked angles. What do you notice?
8 cm
4 cm
10 cm
5 cm
Both the same value angle (about 27 degrees).
The sides of a right triangle can be related to
a particular angle.
hypotenuse (longest)
adjacent (next to)
opposite
How many pairs of sides are there?
Relationship between sides and angles.
The sides of a right triangle can be related to
a particular angle.
hypotenuse (longest)
adjacent (next to)
opposite
x
o
h

a
h

o
a
= sin x
= cos x
= tan x
L.O. - Link ratios of sides to trigonometric functions, and identify which function applies to which side.
Which function?
Which function links the marked angle to these sides?
ABC: sin

DEF: tan

GHI: cos

JKL: tan
Main Activity
Main Activity
Plenary
Explain why cos x = sin (90 - x). You may use the triangle below to help if you wish.
x
Plenary
Explain why cos x = sin (90 - x). You may use the triangle below to help if you wish.
x
90 - x
The side adjacent to x is opposite to 90 - x,
so for x is the same as for 90 - x.
a
h
o
h
Activities
Activity
Answers

Key
Examples

Worked
Example
Full transcript