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The value of sinh ("cosh"^(-1)x) is...

The value of sinh `("cosh"^(-1)x)` is

A

`sqrt(x^(2)+1)`

B

`(1)/(sqrt(x^(2)+1))`

C

`sqrt(x^(2)-1)`

D

`(1)/(sqrt(x^(2)-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-HYPERBOLIC FUNCTIONS -EXERCISE - II
  1. (cosh x(1)+sinhx(1)) (cosh x(2)+sinhx(2))….. (coshx(n)+sinhx(n))=

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  2. If sinh(x+y) cosh(x-y)=k (sinh2x+sinh2y) then k =

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  3. The value of sinh ("cosh"^(-1)x) is

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  4. sin h^(-1) ((x)/(sqrt(1 - x^(2)))) =

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  5. The point of intersection of the curves y=cosh(x) and y=sech(x) is

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  6. The domain of cos h^(-1) (2x) is

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  7. If 'x' is an acute angle and y=log(tan((pi)/(4)+(x)/(2))) then cosx.co...

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  8. Statement-I: If f(x) = coshx - sinhx for x in R then f(x-y)=f(x) div ...

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  9. Statement-I: If sechx + cosechx ="k"(e^((k-1)x))/(e^(kx)-1) then k = 3...

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  10. Arrange the following in ascending order of their values (A) cosh2 ...

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  11. If 2(sinh2+sinh3+sinh5) (e^(5))/(e^(5)-1)=a+be^(2)+ce^(3)+de^(5) then ...

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  12. Match from List-I to List-II {:("List-I","List-II"),("(Function)","(...

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  13. Observe the following statements: Assertion(A) : If -(pi)/(2) lt the...

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  14. Observe the following statements: Assertion (A): If "sinh"^(-1) sqrt...

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  15. If tanA=tan alpha tanh beta and tanB=cot alpha tan h beta then tan(A+...

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  16. log[(x-1)+sqrt(x^(2)-2x)], x ge 2, is equal to

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  17. For 0 lt x le pi, sinh^(-1) (cotx)=

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  18. tan h^(-1) ((1)/(2)) + cot h^(-1) (2) =

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  19. The domain of sech^(-1)((x)/(2)) is

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  20. If x=tanh^(-1)(y), then log(e )((1+y)/(1-y))=

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