1.

If the function f(x)=sin^(-1)x+cos^(-1)x and g(x) are identical, then g(x) can be equal to

Answer»

`sin^(-1)|x|+|cos^(-1)x|`
`tan^(-1)x+cot^(-1)x`
`|sin^(-1)x|+cos^(-1)|x|`
`(SQRT(sin^(-1)x))^(2)+(sqrt(cos^(-1)x))^(2)`

Solution :`F(x)=sin^(-1)x + cos^(-1)x=(pi)/(2), AA x in [-1,1]`
If `g(x)=|sin^(-1)x|+cos^(-1)|x|={{:(-sin^(-1)x +pi-cos^(-1)x, -1le x lt 0),(=pi-(pi)/(2)=(pi)/(2)),(sin^(-1)x + cos^(-1)x, 0LE x le 1),(=(pi)/(2)):}`


Discussion

No Comment Found

Related InterviewSolutions