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

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

A

`2 cos^(-1)x`

B

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

C

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

D

`-2 cos^(-1)x`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. If (1)/sqrt(2) le x le 1 then sin^(-1) 2xsqrt(1-x^(2)) equals

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

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

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

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

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

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

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

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

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  10. If 0 lt x lt 1 then tan^(-1) (2x)/(1-x^(2)) equals

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

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

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  13. Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if ...

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  14. Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if ...

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  15. Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if ...

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

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

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  18. If x in [-1,1] then sin^(-1)((2x)/(1+x^(2))) equals

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  19. If x in (1,oo) then sin^(-1)((2x)/(1+x^(2))) equals

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  20. If x in (-oo,-1) then sin^(-1)((2x)/(1+x^(2))) equals

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