conversion from sum formulae to difference formulae of trigonometry


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Summary
Transformation of product into sum or difference. Transformation of sum or difference into produ..
Sum Formula
For any two angles A and B, we ha..
Difference Formula
For any two angles A and B we have ..
Trigonometry XI Introduction
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. ..
Solution of triangles
We have studied that a triangle has six parts or six elements viz three sides and three angles. 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 d..
Signs of Trigonometric Ratios
Allied angles in different quadrants..
To find q when tangent ratio is known
If find . = 51 o 23 ' can be 51 o 22 ' as well. Therefore, both answers are correct because mean difference for 4 ' and 5 ' is..
Natural Sine Tables
sin 56 o 24 ' = 0.8329 (iii) sin 56 o 28 ' As in (ii) read for sin 56 o 24 ' and for 4 ' read from 'C' group. sin 56 o 24 ' = 0.8329 mean difference for 4 ' = 7 to be added sin 56 o 28 ' = 0.8336 As the angle has increased, sine ratio has increased. To find q when sine ratio is know..
Conversion of Galvanometer into Ammeter
resistance of the galvanometer A galvanometer can be converted into an ammeter (device measuring the current flowing through a conductor) by connecting a low resistance (called shunt resistance) in parallel to the galvanometer as shown in the figure. Let R g represent the resistance of the galvanometer, i g the curr..
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