Trigonometry is important to mathematics as it involves the study of calculus, statistics and linear algebra. This article covers the identities of trigonometry and trigonometric equations, functions of trigonometry, properties of inverse trigonometric functions, problems on heights and distances.
The trigonometry questions from the previous years of JEE Main are present on this page, along with the detailed solution for each question. About 2-3 questions are asked from this topic in JEE Examination.
Trigonometry is an essential element of calculus. In statistics, trigonometric functions are needed for the calculation of the bell curve. The other uses of trigonometry in different fields relate to the use of the Fourier series, which cannot be computed without the use of trigonometry.
Trigonometry in general deals with the study of the relationships concerning angles and the lengths of triangles. The two branches of trigonometry are:
Plane trigonometry concentrates on the connection between the sides of triangles and angles. Students learn about theories like right angles, acute angles, straight angles, complementary angles and supplementary angles. Considering the triangles are all situated on a plane, the sum of the angles is always 180 degrees.
In spherical trigonometry, students learn about curved triangles drawn on the surface of a sphere. This refers to the sum of the angles of these triangles is higher than 180 degrees. Spherical trigonometry is used in astronomy and navigation.