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If x=(1)/(5),"the value of"cos(cos^(-1)x...

If `x=(1)/(5),"the value of"cos(cos^(-1)x+2sin^(-1)x)` is

A

`-sqrt((24)/(25))`

B

`sqrt((24)/(25))`

C

`1/5`

D

`-1/5`

Text Solution

Verified by Experts

The correct Answer is:
D
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PREMIERS PUBLISHERS-INVERSE TRIGONOMETRIC FUNCTIONS -SOLVED TO EXERCISE 4.6
  1. The value of sin^(-1) (cos x ) , 0 le x le pi is :

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  2. If sin^(-1)x+sin^(-1)y=(2pi)/(3)",then"cos^(-1)x+cos^(-1)y is equal to

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  3. sin^(-1)""(3)/(5)-cos^(-1)""(12)/(13)+sec^(-1)""(5)/(3)-cosec^(-1)(13)...

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  4. If sin^(-1)x=2sin^(-1)alpha has a solution, then

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  5. sin^(-1)(cosx)=(pi)/(2)-x is valid for

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  6. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) , the value of x^(2017)+y^(...

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  7. If cot^(-1)x=(2pi)/(5)"for some"x""inR,"the value of"tan^(-1)x is

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  8. The domain of the function defined by f(x)=sin^(-1)sqrt(x-1) is

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  9. If x=(1)/(5),"the value of"cos(cos^(-1)x+2sin^(-1)x) is

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  10. tan^(-1)((1)/(4))+tan^(-1)((2)/(9)) is equal to

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  11. If the function f(x)=sin^(-1)(x^(2)-3)" then "x belongs to

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  12. If cot^(-1)2andcot^(-1)3 are two anges of a triangle, then the third a...

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  13. sin^(-1)[tan""(pi)/(4)]-sin^(-1)[sqrt((3)/(x))]=(pi)/(6). Then x is a ...

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  14. sin^(-1)(2cos^(2)x-1)+cos^(-1)(1-2sin^(2)x)=

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  15. If cot^(-1)(sqrt(sinalpha))+tan^(-1)(sqrt(sinalpha))=u,"then"cos2u"is ...

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  16. sin^(-1) ((2x)/(1 + x^(2)))

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  17. The equation tan^(-1)x-cot^(-1)x=tan^(-1)((1)/(sqrt(3))) has

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  18. If sin^(-1)x+cot^(-1)((1)/(2))=(pi)/(2), then x is equalt to

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  19. If sin^(-1)""(x)/(5)+cosec^(-1)""(5)/(4)=(pi)/(2), then the value of x...

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  20. sin(tan^(-1)x)absxlt1 is equal to

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