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The value of sin^(-1)("cot"(sin^(-1)((...

The value of `sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))/4+sec^(-1)sqrt(2))))i s` (a)`0` (b) `pi/2` (c) `pi/3` (d) none of these

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`sin^(-1)(cot(sin^(-1)(sqrt3-1)/(2sqrt3)+cos^(-1)(sqrt3/2)+sec^(-1)sqrt2)`
`sin^(-1)(cot(15+30+45))`
`sin^(-1)(cot(90))`
`sin^(-1)0=0`.
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