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Definitions
(i) Angle of elevation, and (ii) Angle of depressio..
Definition
The figure is a unit circle, with origin O as centre cuts the x-axis at A (1,0) and let a variable point moving on the circumference move through an arc length q . i.e., AP = p( q ). The coordinates at the position of p( q ) are p(x,y) = (cos q , sin q ). Then the tangent function is defined ..
Definition of tan
- 1 x tangent inverse of x is q and write tan - 1 x = q . In particular, The graph of tan - 1 x is as shown in the figure below..
Definition of sin
- 1 x For x [-1, 1], if q is an angle whose sine is x, then we say that sine inverse x is q and write sin -1 x = q . For practical purposes, only principal values of sin - 1 x are considered. sin - 1 x is a function of x with domain [-1,1] and range [- p /2, p /2]. The graph..
Definition of cot
- 1 x For x R, if q is an angle whose cotangent is x, then we say that cotangent inverse of x is q and write cot -1 x= q . In particular, For practical purposes, only principal values of cot - 1 x are considered..
Trigonometry
is that branch of mathematics which deals with the measurement of sides and angles of triangles. The word, trigonometry is derived from Greek, which means the measure of triangles. This subject was originally developed to solve problems in astronomy and geometry. In recent times, the su..
Trigonometry
Trigonometry - With trigonometry we can find the height of a building or the width of a river without actually climbing or crossing. Certain basic definitions are necessary to further develop this subject. The ratios of two sides of a triangle are taken. There are six ..
Trigonometry
(i) Sin q means a particular ratio. It is not sin multiplied by q . (ii) For trigonometrical ratios, short form T-ratios will be used. (iii) In right angled triangles T-ratios are obtained only for acute angles. (iv) T-ratios depend on only the magnitude of the angles and..
Trigonometry
Solving Trigonometric Equations - Solution of trigonometric equation is value of the unknown angle that satisfies the equatio..
Trigonometry Introduction
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 ..
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