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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.
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
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.
Installation is not required
Install and enable the Java interpreter and Plug-in of the Applet Descartes on local
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Fecha publicación: 28.3.2015
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