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CBSE Class 12-science Answered

L e t space f colon open square brackets negative straight pi over 2 comma straight pi over 2 close square brackets rightwards arrow A space b e space d e f i n e d space b y space f open parentheses x close parentheses equals sin x. space I f space f space i s space a space b i j e c t i o n comma space w r i t e space s e t space A. Please provide solution to this question
Asked by Topperlearning User | 25 Oct, 2016, 09:00: AM
answered-by-expert Expert Answer

L e t space f colon open square brackets negative straight pi over 2 comma straight pi over 2 close square brackets rightwards arrow A space b e space d e f i n e d space b y space f open parentheses x close parentheses equals s i n x. space S i n c e space f space i s space a space b i j e c t i o n comma space t h e space f u n c t i o n space i s space o n e minus t o minus o n e space a n d space o n t o. T h u s comma space f open parentheses negative straight pi over 2 close parentheses equals sin open parentheses negative straight pi over 2 close parentheses equals negative 1 f open parentheses straight pi over 2 close parentheses equals s i n open parentheses straight pi over 2 close parentheses equals 1 T h u s comma space t h e space s e t space A equals open square brackets negative 1 comma 1 close square brackets

Answered by | 25 Oct, 2016, 11:00: AM

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