Trigonometric
ratios (cont.....)
The reciprocals of these functions are named the cosecant (csc or cosec), secant (sec), and cotangent (cot), respectively.
Video analysis
A short video
Applications of trigonometry
Trigonometric
ratios
- Trigonometry is used by setting directions such as north south east west, it tells you what direction to take with compass to get on a straight direction.
- Trigonometry is used in navigation in order to pinpoint a location.
- Usually, this is done by means of three different coordinates.
- One example of trigonometry in navigation is the sextant.
Basic
Overview
- Sine function (sin), defined as the ratio of the side opposite the angle to the hypotenuse.
- Cosine function (cos), defined as the ratio of the adjacent to the hypotenuse.
- Tangent function (tan), defined as the ratio of the opposite to the adjacent.
- Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles.
- The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Applications of trigonometry
- There is an enormous number of uses of trigonometry and trigonometric functions.
- For instance, the technique of triangulation is used in astronomy to measure the distance to nearby stars, in geography to measure distances between landmarks, and in satellite navigation systems.
Trigonometry