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In Inverse trigonometry why the range of inverse functions restricted those particular intervals.Those functions are onto functions in many intervals.If we change the interval the properties is going to change?

In Inverse trigonometry why the range of inverse functions restricted those particular intervals.Those functions are onto functions in many intervals.If we change the interval the properties is going to change?

Grade:11

1 Answers

Rathod Shankar AskiitiansExpert-IITB
69 Points
10 years ago

Dear K Bramhendra

Inverse functions has to take care of period. they are periodic functions we dont have inverse functions for periodic functions...thats why we define domains for them.

for example....if tan(45) = tan(180+45) 

so answers are 45 and 225...and so on..which one we have to take from those answers..thats why we define domain..and this domain have all the values ranging 

 

 

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Rathod Shankar

IIT Bombay

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