MHrtz said:
An identity means that something holds for all x, no?
the pi/2 is outside of the arctan. I need to redo my derivative.An identity proof of an inverse trig function is a mathematical process used to show that two expressions involving inverse trigonometric functions are equivalent. This means that they have the same value for all possible inputs.
Identity proofs of inverse trig functions are important because they allow us to simplify and manipulate complex trigonometric expressions. They also help us to better understand the relationships between different inverse trig functions.
To prove an identity involving inverse trig functions, you need to use the properties and identities of trigonometric functions, as well as algebraic manipulation and substitution. You also need to be familiar with the unit circle and the definitions of inverse trig functions.
Some common strategies for proving inverse trig function identities include using the Pythagorean identities, converting all trig functions to sine and cosine, and using the double angle and half angle formulas. It is also helpful to break down the expression into smaller parts and work on each part separately.
Some tips for successfully proving inverse trig function identities include: always start with the more complex side of the equation, carefully simplify and manipulate each expression, use the correct identities and formulas, and check your work by substituting in different values for the variables.
