Simply speaking, trigonometry is a methodology for getting some unknown elements in a triangle, and other geometric shapes, provided sufficient related data are available on angular measurements and lengths to find out the missing data, e. Originally, trigonometry was used to define relations between any two elements of a triangle.
In a triangle, there are six basic elements, i. The line segments that may serve as the three sides of a triangle, if they are capable to satisfy the triangle inequality, or rather three triangle inequalities. Similarly, not any three arbitrary angles may be the angles of a triangle. These necessities impose restrictions on the way in which the relations between the two elements in a triangle may be defined.
In modern trigonometry, these relations are extended to any arbitrary angles also. This can be done, for example, by observing the projections of a rotating radius of a circle and a tangent at the end of the radius. There are a hundreds of trigonometric identities available for different applications in different purposes.
Some other important identities are as follows —. This branch of mathematics is very vast and its application, as stated before, is very wide. Students are given assignments depending on their levels of studies like high school, undergraduate studies, postgraduate studies, etc. Some common topics from which assignments are often given at undergraduate level are as follows —. These and many other topics are quite commonly used in assignments and students sometimes fall in grave problem while handling their assignments on trigonometry.
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