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AAKASH SERIES-HYPERBOLIC FUNCTIONS -EXERCISE-I
- "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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- If sinh^(-1)2+sinh^(-1)3=x rArr cos hx=
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- If x=log[y+sqrt(y^(2)-1)], then y =
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- 2tanh^(-1)((1)/(2))=
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- e^(log(cosh^(-1)2))=
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- "Sech"^(-1) (sin theta)=
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- If log(3+2sqrt(2))=cosh^(-1)(k) then k =
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- If log(sqrt(5)+2)=sinh^(-1)(k) then k =
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- If e^(sinh^(-1)(tan theta))=k then show that k=sec theta +tan theta
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- "Sech"^(-1)((1)/(3))=
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- If tanh^(2)(x)=tan^(2)theta then cosh(2x)=
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- If theta in ((-pi)/(4), (pi)/(4)) and x=log(e )[cot((pi)/(4)+theta)] ...
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- "Tanh"^(-1)((1)/(3))+"coth"^(-1)(3)=
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- "Cosech"^(-1)((1)/(5))=
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