1.

Which of the following is the solution set of the equat where x in (0, 1), is equal to

Answer»

0
1
`-1`
NONE of these

Solution :`tan (sin^(-1) (cos (sin^(-1) x))) tan(cos^(-1) (sin (cos^(-1) x)))`
`= tan(sin^(-1) (cos (cos^(-1) SQRT(1 -x^(2)))))`
`tan {cos^(-1) (sin (sin^(-1) sqrt(1 -x^(2))))}`
`= tan (sin^(-1) sqrt(1 -x^(2)) tan (cos^(-1) sqrt(1 - x^(2)))`
`= tan (cos^(-1) x) tan (sin^(-1) x)`
`= tan(cos^(-1) x) tan (pi//2 - cos^(-1 x)`
`= tan (cos^(-1) x) cot (cos^(-1) x) = 1`


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