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let A={x:-(pi)/(2) le x le (pi)/(2)} and...

let `A={x:-(pi)/(2) le x le (pi)/(2)} and B={x:-1 le x le 1}`. Show that the function `f: A rarr B` defined by, `f(x)= sin x ` for all `x in A`, is bijective . Hence, find a formula that defines `f^(-1)`

Text Solution

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The correct Answer is:
`f^(-1)(x)=sin ^(-1)x`
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