Asked by Anon
Hello! I'm a little stumped on a question asking about domain restrictions and why they are necessary to inverse trigonometric functions. I remember reading about this, but I'm blanking on the reason as to why. Could someone give me a little info (like defining domain restrictions and inverse trig functions) to help me answer this?
Answers
Answered by
oobleck
You need to restrict the domain so that the inverse is 1-to-1
Since sin(0) = sin(2pi) = sin(4pi) ... = 0
restrict the domain so you get exactly one period of the function.
making the domain [-pi/2 , pi/2] gives you exactly one value of y for each value of x.
Since sin(0) = sin(2pi) = sin(4pi) ... = 0
restrict the domain so you get exactly one period of the function.
making the domain [-pi/2 , pi/2] gives you exactly one value of y for each value of x.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.