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The inverse of the function y = \sin x is 

  • Option 1)

    y = cosec x

  • Option 2)

    y =\sin^{-1}x

  • Option 3)

    y = \frac{1}{\sin x}

  • Option 4)

    None of these

 

Answers (1)

best_answer

As we have learnt,

 

Property of Inverse -

The inverse of a bijection is also a bijection.

-

 

 Inverse of y = \sin x, where -\frac{\pi}{2} \leq x \leq \frac{\pi}{2} is y = sin^{-1} x; -1\leq x\leq 1. We need to specify value of x, so that it is a bijective function

 


Option 1)

y = cosec x

Option 2)

y =\sin^{-1}x

Option 3)

y = \frac{1}{\sin x}

Option 4)

None of these

Posted by

Himanshu

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