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

If `sin (sin^(-1).(1)/(5) + cos^(-1) x) = 1`, then find the value of x

A

0

B

1

C

`4//5`

D

`1//5`

Text Solution

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The correct Answer is:
D
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PUNEET DOGRA-INVERSE TRIGONOMETRIC FUNCTION -PREV YEAR QUESTION
  1. x=4tan^(-1)((1)/(5)),y=tan^(-1)((1)/(70)) z=tan^(-1)((1)/(99)) Wha...

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  2. x=4tan^(-1)((1)/(5)),y=tan^(-1)((1)/(70)) z=tan^(-1)((1)/(99)) Wha...

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  3. The number of solution of the equation tan^(-1) (1 + x) + tan^(-1) (1 ...

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  4. What is sin^(-1)""(4)/(5)+sin^(-1)""(3)/(3) equal to ?

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  5. What is sin^(-1)sin((3pi)/(5)) equal to?

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  6. Consider the following statements I. tan^(-1)1+tan^(-1)(0.5)=pi//2 ...

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  7. If x and y are positive and xygt1, then what is tan^(-1)x+tan^(-1)y to...

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  8. What is tan^(-1)((1)/(2))+tan^(-1)((1)/(3)) equal to?

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  9. sin^(-1)((2a)/(1+a^(2)))+sin^(-1)((2b)/(1+b^(2)))=2tan^(-1)x, then x i...

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  10. What is the value of sin^(-1)""(4)/(5)+sec^(-1)""(5)/(4)-(pi)/(2)

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  11. What is the value of sec^(2)tan^(-1)((5)/(11))?

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  12. IF tan^-1 2, tan^-1 3 are two angles of a triangle , then the third an...

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  13. What is the value of cos{cos^(-1)""(4)/(5)+cos^(-1)""(12)/(13)}

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  14. What is the principle value of sec^(-1)((2)/(sqrt3))

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  15. Consider the following statements I. cosec^(-1)(-(2)/(sqrt3))=-(pi)/...

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  16. If sin (sin^(-1).(1)/(5) + cos^(-1) x) = 1, then find the value of x

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  17. What is the value of sin^(-1)""(4)/(5)+2tan^(-1)""(1)/(3)?

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  18. What is the prinicple value of cosec^(-1)(-sqrt2) ?

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  19. If sin^(-1)""(5)/(x)+sin^(-1)""(12)/(x)=(pi)/(2), then what is the val...

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  20. Statement I. If -1lexlt0 then cos(sin^(-1)x)=-sqrt(1-x^(2)) Statemen...

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