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Trigonometrical ratios

tipo de documento French-Foreign Language - Teaching sequence

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Trigonometrical ratios

Worksheet overview

Description:

As Thales' theorem tells us, trigonometrical ratios of an angle do not depend on the right-angled triangle we choose. Therefore, we can choose a right-angled triangle whose hypotenuse is the radius of a unit circle. We have drawn a set of axes and used the origin as the centre of an auxiliary circle whose radius is equal to one unit. We have drawn a right-angled triangle in the circle, which we will use to define the trigonometrical ratios. By choosing a radius of this length we have made it easier to find, for each trigonometrical ratio of a given angle, a segment whose length is equal to this ratio. This circle whose radius is equal to one unit is called the unit circle.

Teaching orientation:

KNOWLEDGE TYPE: procedural

LEARNING OBJECTIVES * To learn the trigonometrical ratios of angles. * To find the relation between the different trigonometrical ratios of the same angle. * To find the relation between the trigonometrical ratios of complementary and supplementary angles, as well as angles with a difference of p radians and opposite angles. * Recognise the relation that exists between the sides of a right-angled triangle.

PRIOR KNOWLEDGE The contents required are explained in this course

License:

creative commons: attribution - non commercial - share alike

License description:

The use of the following contents is universal, free of charge and open, provided that it is for non-commercial educative use. The actions, products and utilities derived from its use may therefore not generate any profit. Moreover, a reference to the source is required.

End user:

learner

Context:

classroom

General

Language:

english

KeyWords: angle sine secant

Scope: universal

Structure:

linear

Agregation level:

Teaching Sequence

Collection: Descartes

Node:

INTEF

agrega.educacion.es

Repository URL: /repositorio/04032010/f4/es_2010030463_9220857

IMS Manifest Download file

Technique

Format:

image/gif

text/html

Requirement type:

operating system

Requirement name:

multi-os

Requirement type:

browser

Requirement name:

any

Installation considerations:

Installation is not required

Other platform requirements:

Install and enable the Java interpreter and Plug-in of the Applet Descartes on local

Educational use

Educational learning resource type:

real or virtual learning environment

Interaction type:

mixed

Interaction level:

high

Semantic density:

medium

Age: 15

Difficulty:

medium

Learning time: 1H 40M / 2 teaching units

Educational language:

english

Cognitive process:

analyse

implement

understand

Rights

License cost:

Access type:

universal

Access description:

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