trigonometry xi introduction half angle


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Half-Angle Formulae
If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that where 2s = a + b + ..
Introduction
In Greek 'Trigonon' means a triangle. 'Metron' means a measure. The combination of these two words gives us the word 'Trigonometry'. Trigonometry is the branch of mathematics that deals with the relations between the sides and angles of triangles. In our study we will ..
Introduction
Trigonometry is that branch of mathematics which deals with the measurement of sides and angles of triangle..
Introduction
The t-ratios of acute angles are given in tables of natural sines, natural cosines and natural tangents. In this chapter, we will discuss (i) how to read trigonometric tables, (ii) how to find the angle when the value of a t-ratio is give..
Introduction
The height of a building or the width of a river can be measured without climbing or crossing it. In this chapter we will show how it is made possible. Some suitable angles and distances will be measured to achieve the above result..
Introduction
When calculating sides or angles of right angled triangles, it is easiest to use the appropriate trigonometric relation. Finding the value of trigonometric ratios from the tables is learnt easily. Nowadays of course calculators are able to give accurate values for an..
Introduction
Let us recapitulate the trigonometric ratios (t-ratios). There are six t-ratios. D ABC is a right-angled triangle, B = 90 o . (i) In short, (ii) In shor..
Angles
An angle is an amount of rotation of a half-line (or ray) in a plane about its end point from an initial position to a terminal position. The important terms are: Measurement of angle, Positive and Negative angles, Lines at right angles, Quadr..
Angles
Fig.(i) Fig.(ii) Fig.(iii) Let OA and OB two half lines with common end point O. The half lines OA and OB are the sides of an angle and the point O is the vertex of the angle. An angle is a..
Measurement of Angles
To measure an angle we shall use two kinds of units, the degree unit and the radian unit. A degree(Sexagesimal system) is defined to be an angle formed by half-line (or a ray) rotated about its end point (1/360) of a complete revolution. Types of ..
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