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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Hyperbolic Functions)
- Prove that sinh(3x)=3sinhx+4sinh^(3)x,AAx inR
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- Prove that (coshx-sinhx)^(n)=cosh(nx)-sinh(nx)
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- IF sinhx=3//4 then find cosh2x and sinh2x.
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- If coshx=5//2 , then find the values of cosh(2x)
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- If coshx=5//2 , then find the values of sinh(2x)
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- If sinhx=3" then show that "x=log(3+sqrt10)
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- S.T Tanh^(-1) 1/2 = 1/2 log(e)3.
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- If coshx=sectheta " then prove that "tanh^(2).(x)/(2)=tan^(2).(theta)...
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- Prove that cosh^(2)x-sinh^(2)x=1
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- P.T cosh^(2)x+sinh^(2)x=cosh2x
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- Prove that cosh^(4)x-sinh^(4)x=cosh2x
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- Prove that cosh3x = 4 cosh^(3)x-3coshx
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- P.T tanh3x=(3tanhx+tanh^(3)x)/(1+3tanh^(2)x),AAx inR
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- Prove that (coshx+sinhx)^(n)=cosh(nx)+sinh(nx)
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- If coshx=3//2, then find the value of (i) sinh2x (ii) cosh2x
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- If coshx=3//2, then find the value of (i) sinh2x (ii) cosh2x
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- If sinhx=5, " then S.T "x=log(e)(5+sqrt(26))
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- If tanhx=1//4," then prove that "x=(1)/(2)log(e)((5)/(3))
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- Prove that sinh(x-y) = sinh x cosh y - cosh x sinh y.
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- Prove that sinh(x+y)=sinhxcoshy+coshxsinhy
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