The number of solutions of the equation `sin^(- 1)x+sin^(- 1)(1-x)=cos^(- 1)x` is

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The number of solutions of the equation sin ^-1[x^2+1/3]+cos ^-1[x^2-2/3]=x^2, for x ∈[-1,1], and... The number of solutions of the equation sin ^-1[x^2+1/3]+cos ^-1[x^2-2/3]=x^2, for x ∈[-1,1], and...