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AAKASH SERIES-HYPERBOLIC FUNCTIONS -EXERCISE-I
- The domain and range of f(x) = coth(x) are respectively
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- The range of cos h(x) is
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- Sinh(0) =
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- Cosh(1) + Sinh(1) =
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- cosh 2 + sinh 2 =
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- If ("coth"(x)+1)/("coth(x)-1)=e^(kx) then k =
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- If cosh(x)=sec alpha then "cosech"(x)=
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- ("Cosh"2+sinh2)^(n)=
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- If sinhx = 3/4 then find cosh 2x and sinh 2x.
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- If tanh(x)=(3)/(5) then cosh(2x)=
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- If sinh(x)=(3)/(4) then sinh(3x) =
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- "Cosh"^(4)(x)-"Sinh"^(4)(x)=
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- "Cosh"^(-1)(2)=
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- "Tanh"^(-1)((1)/(3))=
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- sinh^(-1)(2^(3//2))=
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- Sinh (ix) =
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- If cosh^(-1)(x)=log(e )(2+sqrt(3)), then x =
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- If |x| lt 1, then (1)/(2) log((1+x)/(1-x))=
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- If x=tanh^(-1)(y), then log(e )((1+y)/(1-y))=
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- If log(5+sqrt(26))=sinh^(-1)(k) then k =
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