Mathematics, 27.08.2019 04:30 itskarmaboo
On what interval is the identity sin^-1(sin (x)) = x valid?
Answers: 3
![[\frac{-\pi }{2},\frac{+\pi }{2}]](/tpl/images/0201/4402/a13c7.png)
![sin(x)\in [-1,1]\\\\(\because sin^{-1}x](/tpl/images/0201/4402/cef35.png)
is defined only for x in the set[-1,+1])
![\therefore x\in [-\pi /2,+\pi /2]](/tpl/images/0201/4402/4f4d2.png)
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On what interval is the identity sin^-1(sin (x)) = x valid?...
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