Inverse of Trigonometric Functions

The inverse of Trigonometric functions is used to obtain angles from the ratios. They are also known as ‘Arc functions’. The inverse is applicable on sine, cosine, tangent, cosecant, secant, and cotangent. In this domain and range also gets inverted. It is represented by cos^-1, sin^-1,tan^-1 etc. They are often represented by arccos, arcsin, arctan, etc.  The inverse function is also known as the anti trigonometric function. These functions are useful in engineering, physics, mathematics, etc. Some formulas are mentioned below,

1. cos^-1x + sin^-1x = π/2 
2. arctan(x) + arc cot(x) = π/2
3. arcsec(x) + arc cosec(x) = π/2

Trigonometry is the branch of Mathematics that establishes a relation between sides and the angles of a right-angled triangle. It helps to find the unknown sides of the unknown angles of the triangle. The angles are measured either in radians or in degrees. The trigonometric ratios or trigonometric functions are sine, cosine, tangent, and their inverses sec, cosec, and cot. The trigonometric functions are calculated using a right-angled triangle. The longest side in the triangle is the hypotenuse and the sides opposite are the base and height. Trigonometric functions are used in obtaining unknown angles and distances.

1. Sine is the ratio of base to the hypotenuse
2. Cosine is the ratio of height to the hypotenuse
3. Tangent is the ratio of height to base