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Find the values of sin^-1(sin3)+sin^-1(sin4)+sin^-1 (sin5) =?

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Solution:    From the graph  of  sin^-1(sin x), we have

                    sin^-1(sin 3)=pi-3,sin^-1(sin4)=pi-4

                   sin^-1(sin 5)=5-2pi,

       Hence ,  sin^-1(sin 3)+sin^-1(sin 4)+sin^-1(sin 5)=-2

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Deependra Verma

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