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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 tim..
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 ..
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 ou..
Natural Sine Tables
A special type of sine bar is sine centre which is used for conical objects having male and female parts.it cannot measure the angle more than 45 degree. Sine table is used to measure angles of large workpieces. As the angle has increased, sine ratio has increase..
Difference Formula
For any two angles A and B we have ..
For any two angles A and B we have ..Case 4:
>o or more than B then C must be greater than 90 o . This is impossible, since a triangle can have only one right angle or more in size. If b < c, there may be two triangles having the given elements b, c and B. One having an acute angle C 1 and second having an ang..
>o or more than B then C must be greater than 90 o . This is impossible, since a triangle can have only one right angle or more in size. If b < c, there may be two triangles having the given elements b, c and B. One having an acute angle C 1 and second having an ang..Sum Formula
For any two angles A and B, we have 1. Sin(A+B) = SinA CosB + CosA SinB. 1. Cos(A+B) = CosA CosB + SinA SinB. 1. Tan(A+B) = (TanA + TanB) / (1 - TanA TanB). 1. Cot(A+B) = (CotB CotA - 1) / (CotB + CotA..
Question 8
Question: Answer: Let tan q = t then we have The above equation is a quadratic in t if t 1 = tan a , t 2 = tan b are the roots of the equat..
Question: Answer: Let tan q = t then we have The above equation is a quadratic in t if t 1 = tan a , t 2 = tan b are the roots of the equat..Graph:
implying that y becomes numerically great without bound as x takes these values. They are called asymptotes. The table of values and the graph show that the part of the curve from p to 2 p has the same form on the part from 1 to p . This implies that the fact tan x = tan ( p + x). The whole curve c..
implying that y becomes numerically great without bound as x takes these values. They are called asymptotes. The table of values and the graph show that the part of the curve from p to 2 p has the same form on the part from 1 to p . This implies that the fact tan x = tan ( p + x). The whole curve c..Proof:
Let ABC be any triangle and let AD be drawn perpendicular to BC. (AD = h = altitude of triangle) In figure (i), we have BD = x, DC = y From right-angled triangle ADB, we have From right-angled triangle ADC, we have Adding (ii) and (iii), we get x + y = cos B + b cox C . (iv) From (..
Let ABC be any triangle and let AD be drawn perpendicular to BC. (AD = h = altitude of triangle) In figure (i), we have BD = x, DC = y From right-angled triangle ADB, we have From right-angled triangle ADC, we have Adding (ii) and (iii), we get x + y = cos B + b cox C . (iv) From (.. Result
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