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the greatest and least values of `(sin^(-1) x)^2+(cos^(-1)x)^2`

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`(sin^(-1) x)^2 + (cos^(-1) x)^2 `
`= (sin^(-1) x + cos^(-1) x) – 2 sin^(-1) x cos^(-1) x`
`= (π^2 / 4) – 2 sin^(-1 )x [(π / 2) – sin^(-1) x]`
`= (π^2 / 4) – πsin^(-1) x + 2 (sin^(-1) x)^2`
`= 2 [(sin^(-1) x)^2 – (π / 2) sin^(-1) x + (π^2 / 8)]` ...
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  8. Prove that: sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi

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  9. Prove that: tan^(-1)1+tan^(-1)2+tan^(-1)3=pi

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