Does Sin^-1(-x)=-Sinx? Is it true or false and explain.

2 answers

No, of course not. How can 1/sin(-x)=-sinX
-1/sin(x)=-sinX

In general not true, unless...
1=sin^2x
1=sin (x)
x=PI/2 or 2PI + PI/2, ...

I assume you do not mean for sin^-1 INVSINE, or ARCSIN, but 1/sin(x)
In case you mean
Does arcsin (-x) = sin x,
that would be true for x = 0.

In general, it is not true
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