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sinh(cosh^(-1)x)...

sinh(cosh^(-1)x)

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(A) If tanh alpha=(2)/(3), tan h beta=(3)/(5) then tanh(alpha-beta)=p_(1) (B) sinh(cosh^(-1)3+sinh^(-1)7)=p_(2) (C ) tanh["tanh"^(-1)(2)/(3)+"tanh"^(-1)(3)/(5)]=p_(3)

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

int(dx)/(sinh^(2)x cosh^(2)x)

The function sinh^(-1)(x) is

int Cosh^(-1)x dx=

If A = "Tanh"^(-1) (1//2) + "Coth"^(-1) (2), "B = sinh "("Cosh"^(-1)9) . "C = sech"^(2) ("Tanh"^(-1) 1//2)+ "cosech"^2 ("Coth"^(-1) 3) then

Find derivative y=sinh^(-1)((1-x)/(1+x)) .

int sinh^(-1) ((x)/(4)) dx =

Show that (cosh(2x)-1)/(sinh(2x)) = (sinh(2x))/(1+cosh(2x))=tanhx