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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 possible c..
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 possible c..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 XI
Introduction - Trigonometry is that branch of mathematics which deals with the measurement of sides and angles of triangle..
Trigonometry (Continued)
Trigonometry (Continued)..
Trigonometry (Continued)..Trigonometry Summary
Summary - sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90 o . Trigonometric ratios of standard angles (i) sin 0 o = 0, cos 0 o = 1, tan 0 o = 0 (ii) (iii) (iv) (v) sin 90 o = 1 cos 90 o = 0 tan 90 o..
Summary - sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90 o . Trigonometric ratios of standard angles (i) sin 0 o = 0, cos 0 o = 1, tan 0 o = 0 (ii) (iii) (iv) (v) sin 90 o = 1 cos 90 o = 0 tan 90 o..Trigonometry (Continued)
Summary - 1. In the principle value branches, the following formulae holds: sin -1 (sin x) = x, cos -1 (cos x) = x, tan -1 (tan x) = x, cos -1 (cot x) = x, sec -1 (secx) = x, cosec -1 (cosecx) = x 2. If a is some constant angle, then - sin q = sin a q = n p + (-1) n a , n Z - cos q = cos a q = 2n p..
Trigonometry XI Summary
Summary - Trigonometry is that branch of mathematics which deals with the measurements of sides and angles of triangles. The figure obtained by rotating a given ray about its end point is called an angle. An angle is called positive if the direction of rotation of ray from initial side to..
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