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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.

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Asked by Topperlearning User 25th October 2016, 9:00 AM
Answered by 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 Expert 25th October 2016, 11:00 AM
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