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

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

A

`2 sin^(-1)x`

B

`pi-2 sin^(*-1)x`

C

`-pi-2 sin^(-1)x`

D

`none of these

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Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. If a le 1/32 then the number of solution of (sin^(-1) x)^(3) +(cos^(...

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

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

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

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  5. If 0 le x le 1 then cos^(-1)(2x^(2)-1) 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 then sin^(-1)3x-4x^(3) equals

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

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

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  10. If 1/2 le x le 1 then cos^(-1)(4x^(3)-3x) equals

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  11. if -1/2 le x le 1/2 then cos^(-1)(4x^(3)-3x) equals

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  12. if -1 le x le -1/2 then cos^(-1)(4x^(3)-3x) equals

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  13. If 1 lt x lt 1 then tan^(-1) (2x)/(1-x^(2)) equals

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  14. If x in (1,oo) then tan^(-1)(2x)/(1-x^(2)) equals

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  15. if x in (-oo,-1) then tan^(-1)(2x)/(1-x^(2)) equals

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  16. If -(1)/sqrt(3) lt x lt (1)/sqrt(3), then tan^(-1) (3x-x^(3))/(1-3x^(...

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  17. If x gt (1)/sqrt(3) then tan^(-1) (3x-x^(3))/(1-3x^(2)) equals

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  18. If x lt -(1)/sqrt(3) , then tan^(-1)(3x-x^(3))/(1-3x^(2)) equals

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  19. If 0 le x lt oo, then cos^(-1)((1-x^(2))/(1+x^(2))) equals

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  20. If -oo lt x le 0 then cos ^(-1)((1-x^(2))/(1+x^(2)))equals

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