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 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. ..
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..
Measurement of Angles
To measure an angle we shall use two kinds of units, the degree unit and the radian un..
Example:
If b = 251, C = 147, A = 47 o , find the remaining angles. (Use Napier's ru..
Graph:
The variations in the value of tanx depends up on the changes in the value of y as x changes continuously. The straight line perpendicular to the x-axis at x = is drawn to indicate that as the abscissa of moving point on the curve moves towards as a limit, the point on the curve approaches i..
The variations in the value of tanx depends up on the changes in the value of y as x changes continuously. The straight line perpendicular to the x-axis at x = is drawn to indicate that as the abscissa of moving point on the curve moves towards as a limit, the point on the curve approaches i..Introduction
When calculating sides or angles of right angled triangles, it is easiest to use the appropriate trigonometric relation. Finding the value of trigonometric ratios from the tables is learnt easily. Nowadays of course calculators are able to give accurate values for any degree of tan, sin o..
Summary
Trigonometric tables are used - to find the value of a t-ratio when the angle is given - to find the angle when the value of the t-ratio is given As an angle increases, the sine ratio increases, the cosine ratio decreases and the tangent ratio increases..
Fig (c)
Figures (a) and (b) show its two triangles. Figure (c) shows two triangles superimposed and suggests a geometric method of drawing the two triangles. From figure (c), it is evident that if b < c sinB, there is no triangle. The following rules may be used to solve a triangle with given..
Result
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