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If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x...

If `x >1` , then `2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2))` is equal to `4tan^(-1)x` (b) 0 (c) `pi/2` (d) `pi`

A

`tan^(-1)x`

B

0

C

`pi//2`

D

`pi`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
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  2. The value of sin[cot^(-1){cos(tan^(-1) x)}] is

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  3. If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to 4tan^(-...

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  4. If A=tan^-1((xsqrt3)/(2k-x)) and B=tan^-1((2x-k)/(ksqrt3)) then find t...

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  5. If sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x then x equals

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  6. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

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  7. If -1/2 le x le 1/2 hence sin^(-1)(3x-4x^(3)) equals

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  8. The value of sin^(-1)(sin 10) is

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  9. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is

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  10. The value of sin^(-1)[cos((33pi)/5)] is

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  11. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

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  12. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are (...

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  13. If a le 1/32 then the number of solution of (sin^(-1) x)^(3) +(cos^(...

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  14. If x takes negative permissible vlaue then sin^(-1)x=

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  15. If -1 le x le -(1)/sqrt(2) then sin^(-1)2xsqrt(1-x^(2)) equals

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  16. If (1)/sqrt(2) le x le 1 then sin^(-1) 2xsqrt(1-x^(2)) equals

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  17. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

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  18. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

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  19. If -1/2 le x le 1/2 then sin^(-1)3x-4x^(3) equals

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  20. If 1/2 le x le 1 then sin^(-1)3x-4x^(3) equals

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