Inverse trigonometric functions can be described as the inverse functions of the basic trigonometric functions, which are known to be sine, cosine, tangent, cotangent, secant and cosecant functions. They are also known as arcus functions, cyclometric functions or anti trigonometric functions. They are used to obtain the angle with any of the trigonometric ratios. The inverse trigonometric functions have major applications in many domains such as geometry, physics, navigation, engineering etc.
In RD Sharma Solutions for Class 12 Maths Chapter 4 inverse trigonometric functions, students attain a basic knowledge of many topics keenly related to this chapter. The following are the most important topics covered under this chapter: Inverse of the sine function, inverse of the cosine function, inverse of the tangent function, inverse of secant function, Inverse of cosecant function and Inverse of cotangent function.
Arcsine or inverse of the sine function is used to evaluate the angle whose sine value is equal to the opposite side and hypotenuse ratio. For example, in a right triangle, the cosine function is described as the ratio of the base to the hypotenuse side, where the Inverse cosine or Arccos function is the inverse of the cos function and is used to obtain the value of angles for a given triangle. Inverse tan is the inverse function of tan and is used to calculate the angle by applying the tan ratio of the angle, which is said to be the opposite side divided by the adjacent side of the right triangle.
The inverse of sec is said to be arcsec. On the other hand, the inverse of cosec and cot are known to be arccosec and arccot, respectively. Apart from all these inverse trigonometric functions, students can also get an opportunity to learn a topic called Properties of inverse trigonometric functions. In this section, the students study what the properties are and how to use them precisely while solving problems.