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If sin h^(3)x-cos h^(3)x=(ke^(x)-e^(-kx)...

If `sin h^(3)x-cos h^(3)x=(ke^(x)-e^(-kx))/(1-k)` then k=

A

-1

B

0

C

-3

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-HYPERBOLIC FUNCTIONS -LECTURE SHEET EXERCISE - I (STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  2. If cos h (x)=(5)/(4), then cos h (3x)=

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  4. If x = log ( y + sqrt(y^2 -1)) then y =

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  5. x = log (1/y + sqrt(1+1/y^2)) rArr y =

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  6. cosh 3 theta = 99 if cosh theta =

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  7. If u=log(e )"Tan"((3pi)/(4)+(theta)/(2)) then coshu=

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  8. If cosh 2x = 199 , then cothx =

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  9. The value of (cos h 2 theta - 1)/(sin h 2 theta) is equal to

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  10. If tan h^(2) x = cos theta then cos h 2x =

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  11. If cos h x = sec theta then tan h^(2) ((x)/(2))=

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  12. If (3 sin h 2 theta)/(5 + 4 cos h 2 theta) = 1 then tan h^(2) theta + ...

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  13. (tan h x)/(sec h x - 1) + (tan hx)/(sec h x + 1) =

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

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

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  16. If tan A = tan alpha tanh beta, tan B = cot alpha tanh beta, then tan ...

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  18. If "tan" (x)/(2) cot h ((x)/(2)) = 1 then cos x cos hx =

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

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