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Prove sin x is one one and onto in -pie/2 to pie/2 by using rolles theorem

Prove sin x is one one and onto in -pie/2 to pie/2 by using rolles theorem

Grade:12

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
6 years ago
f(x)=sinx ,f’(x)=cosx from -pie/2 to pie/2 cosx is positive so f’(x) is positive means its a strictly increasing fucntion.(one-one) and range is (-1,1) that means onto function

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