What is the domain and range of #y=sin^-1(x)#?

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Answer 1 · 2017-12-25T11:54:47

Domain: #-1<=x<=1#
Range: #-pi/2<=y<=pi/2#

Answer 2 · 2017-12-25T16:51:43

Domain: #-1<=x<= 1 #

Range: #-pi/2 <= y <= pi/2 #

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But a function must have a one-to-one mapping, and this does not, so hence we must 'truncate' the graph, so that it has a one-to-one mapping:

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