Proof of arctan x +arccot x = pi/2 - Three different methods for Proof

In this video I will prove an important identity for inverse trigonometric functions. I will prove it in three different ways. Two of these methods are trigonometric methods and one proof is based on Calculus methods. Inverse trigonometric functions are the inverses of the standard trigonometric functions. They allow you to determine the angle that corresponds to a given trigonometric value. These functions are essential in calculus, geometry, and many areas of engineering and physics. Inverse trigonometric functions are defined only for specific ranges to ensure they are one-to-one functions. These ranges are called the principal branches. Applications Solving equations involving trigonometric functions. Finding angles in triangles when sides are known. Used extensively in calculus, such as in integration techniques. Modelling periodic behaviour in engineering and physics.