Describe Inverse Trigonometric Functions
Inverse trigonometric functions are the inverse ratio of the basic trigonometric ratios.
Answer: Inverse trigonometric functions are the inverse ratio of the basic trigonometric ratios which are sin, cos, tan, cot, sec, cosec.
Let's look into a more detailed explanation
In modern mathematics, there are six basic trigonometric functions: sine, cosine, tangent, secant, cosecant, and cotangent. The inverse of these functions is inverse sine, inverse cosine, inverse tangent, inverse secant, inverse cosecant, and inverse cotangent. They are also known as arcus functions, and trigonometric functions, or cyclometric functions. These inverse functions in trigonometry are used to get the angle with any of the trigonometry ratios.
The representation of an inverse trigonometric function is given as,
If , Sin θ = x
θ = Sin-1x or
Here, Sin-1x denotes the inverse trigonometric function of Sin x.
Thus, we have learned and understood inverse trigonometric functions as the inverse of the ratio of the basic trigonometric functions.