trigonometry


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Trigonometry (Continued) Introduction
Introduction - An equation containing the trigonometrical functions of an unknown quantity is termed as a trigonometrical equation , which holds for some values (and not for all values) of the quantities involved. The value, that satisfies the equation are called the roots . The main problem of int..
Trigonometry - Test Questions-iii
Question 1 - Question: Prove that (2 cos q + 1) (2 cos q - 1) = 2 cos 2 q + 1. Answe..
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 deal with ..
Heights and Distances
Heights and Distances - One of the main use of trigonometry is to find the distances between points, or the heights of objects, without actually measuring these distances or these heigh..
Introduction
Trigonometry is that branch of mathematics which deals with the measurement of sides and angles of triangle..
Summary
1. Trigonometry is that branch of mathematics which deals with the measurements of sides and angles of triangles. 2. The figure obtained by rotating a given ray about its end point is called an angle. 3. An angle is called negative if the direction of rotation of ray fro..
Solving Trigonometric Equations
Solution of trigonometric equation is value of the unknown angle that satisfies the equatio..
Summary
1. Sine of Angle = (Apposite side / Hypotenuse) 2. Cosine of Angle = (Adjacent side / Hypotenuse) 3. Tangent of Angle = (Opposite side / Adjacent side) 4. sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90 o . 5. sin 0 o = 0, cos 0 o = 1, ..
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..
Solution of triangles
From geometry, we know that when any three elements are given of which necessarily a side is given, the triangle is completely determined i.e, remaining three elements can be determined. The process of determining the unknown elements knowing the known elements is known as the solution of a t..
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