Question

Explain why domain restrictions are necessary to create inverse trigonometric functions rather than relations.(4 points)
Answer in 2-3 sentences

Answer 1

Domain restrictions are necessary for inverse trigonometric functions to ensure that each value in the range of the function corresponds to exactly one value in the domain, thus making the relation a function. Trigonometric functions are periodic and have multiple outputs for a single input, so restricting the domain allows for defining a unique inverse that can be easily evaluated, maintaining the functionality of a one-to-one mapping required for inverse operations.