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If sin x cosh y = cos theta, cos x sinh...

If sin x cosh ` y = cos theta,` cos x sinh `y = sin theta` then `sinh^2` y =

A

`cosh^(2)x`

B

`cos^(2)x`

C

`cosh^(3)(x)`

D

`sinh^(2)(x)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-HYPERBOLIC FUNCTIONS -EXERCISE - II
  1. If tanh^(2)(x)=tan^(2)theta then cosh(2x)=

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  2. If cosh(x)=sec theta, then tanh^(2)((x)/(2))=

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  3. If sin x cosh y = cos theta, cos x sinh y = sin theta then sinh^2 y ...

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  4. (cosh x(1)+sinhx(1)) (cosh x(2)+sinhx(2))….. (coshx(n)+sinhx(n))=

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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