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DIPTI PUBLICATION ( AP EAMET)-HYPERBOLIC FUNCTIONS -EXERCISE 1
- If "Tanh"^(-1) (1 - sqrt (1 -x^2))/x = 4 then x =
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- The value of the expression "sech"^2 ("Tanh"^(-1) (1//2))+"Cosech"^2 (...
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- "Sinh"^(-1) [-x/sqrt(1 - x^2)] =
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- The value of sinh ("cosh"^(-1)x) is
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- If sinh [ 2 Coth""^(-1)x] = 11/60 then x is equal to
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- If y = 1/2 "Cosech"^(-1)((1)/(2 x sqrt(1+x))) , then x =
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- x = log (1/y + sqrt(1+1/y^2)) rArr y =
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- For 0 lt x le pi, Sinh""^(-1) (cot x ) =
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- Sech""^(-1) (sin theta) =
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- e^("Sinh"^(-1) (tan theta) =
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- If log ( 5+ sqrt26) = "Sinh"^(-1) k then x =
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- If "Cosh"^(-1) k = log (2 + sqrt3 ) then k =
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- log ( 7 + 5 sqrt2) =
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- If "Sinh"^(-1)2 + "Sinh"^(-1) 3 = alpha, then sinh alpha is equal to
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- If f(x) = " cosh x + sin h x then "f(x1 + x2 +…+xe) =
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- If cosh x = sec theta, then x =
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- log (x - 1 + sqrt(x^2 - 2x)) (x ge 2) is equal to
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- If x= "Tanh"^(-1) y, then "log"e ((1+y)/(1-y)) =
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- If |x| lt 1, then 1/2 log ((1+x)/(1-x)) =
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- If 2 "Sinh"^(-1) (a/sqrt(1-a^2)) = log ((1+x)/(1-x)), then x =
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