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

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

A

`3 cos^(-1)x`

B

`2 pi -3 cos^(-1)x`

C

`-2 pi + 3cos^(-1)x`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. If 1/2 le x le 1 then sin^(-1)3x-4x^(3) equals

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x...

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  18. If 2tan^(-1)x+sin^(-1)((2x)/(1+x^2) ) is independent of x then :

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  19. If tan^(-1) x + tan^(-1)y + tan^(-1)z= pi then x + y + z is equal to

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  20. The value of cos(tan^-1 (tan 2)) is

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