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AAKASH SERIES-HYPERBOLIC FUNCTIONS -ADDITIONAL EXERCISE
- Find the value of cosec h^(-1)(-3)
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- Find the value of tan h^(-1)(3)
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- "Tanh"^(-1) (1//2) + "Coth"^(-1) (2)=
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- Find the value of "sec h"^(-1)(1)/(sqrt(2))
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- Find "sec h"^(2)(tanh^(-1) ((1)/(5)))+"cosec"h^(2)(coth^(-1)2)
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- Show that sinh^(-1)(3)=cosh^(-1) (sqrt(10))
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- If tanhx=1//4," then prove that "x=(1)/(2)log(e)((5)/(3))
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- If e^(sinh^(-1)(tan theta))=k then show that k=sec theta +tan theta
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- Prove that sinh(2x)=(2tanh x)/(1-tanh^(2)x)
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- Show that (cosh(2x)-1)/(sinh(2x)) = (sinh(2x))/(1+cosh(2x))=tanhx
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- If theta in (-(pi)/(4), (pi)/(4)) and x=log(e ) [cot((pi)/(4)+theta)] ...
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- Show that cosh(3x) = 4cosh^(3)x-3coshx
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- Find the value of "Tanh"^(-1)(3)
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- If sinh x = 2, then show that x=log(e )(2+sqrt(5)).
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- Express the value of tanh^(-1)(1//4)+coth^(-1)(4) in terms of logarith...
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- Express "cosech"^(-1)(-4) in terms of logarithm.
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