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Let = Sin X. If F is a Bijection, Write Set A. - Mathematics

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प्रश्न

Let \[f : \left[ - \frac{\pi}{2}, \frac{\pi}{2} \right] \to\] A be defined by f(x) = sin x. If f is a bijection, write set A.

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उत्तर

\[\because\]  f is a bijection, 

co -domain of f = range of f 

As  \[- 1 \leq \sin x \leq 1\]

\[- 1 \leq y \leq 1\]

So, A = [-1 , 1]

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अध्याय 2: Functions - Exercise 2.5 [पृष्ठ ७३]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 2 Functions
Exercise 2.5 | Q 20 | पृष्ठ ७३

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