Prove the identities Then use them to show that a. sinh 2x = 2 sinh x cosh x. b. cosh 2x = cosh²x + sinh²x. sinh(x + y) = sinh x cosh y + cosh xsinh y, cosh(x + y) = cosh x cosh y + sinh xsinh y.

Q: Use a calculator to compute sinhx and coshx for x = -3, 0, 5.

A: We use a calculator to find the values.

Q: int) Approximate cos(4.6) using a quadratic approximation: First note that cos(4.6) cos(3x/2). Let…

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Q: Prove the hyperbolic identity of sinhxcoshy-coshxsinhy=sinh(x-y)

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Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

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Q: Evaluate S sinh x cosh x dx by letting u=cosh x

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Q: Hiw/ If isinh Z= siniz, proveThat: sinhz= sinhxcosy +ising cosh x

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Q: Verify the identity sinh x + cosh x = ex

A: To prove the identity

Q: Prove: Sin(x-pi/2) = -cosx

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Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

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Q: 2- Verify the following identities : [Sinh( u+ v)+ Sinh(u-vl a) Sinhu.Coshv = Coshu.Cosky =-…

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Q: sinx

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Q: F/ prove JhaT cosh(z1+2=)=Coshz.coshaa + Sinh2,Snhze

A: Note: You have not mentioned which question to be solved. Here we are providing answer for 1…

Q: Fired Show that Coshz <Coshx Cosy +i sinhx Siny

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Q: cos x sin x = csc 2x cos 3x sec 2x

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Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Use a calculator to compute sinh x and cosh x for x = −3, 0, 5.

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Q: a) Use suitable sum and difference identities for hyperbolic functions to show that sinh(5x)…

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Q: Differentiate y = (sin x)e A. (sin x)e (cot x- 2ln sinx) B. (sin x)e (cot x – In sinx) C. (sin x)e…

A: To find the derivative.

Q: Use the addition formulas for sinhx and coshx to prove that tanh(u+v)= tanhu+tanhv/ 1+tanhutanhv

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Q: sinh (u + v)= sinh u. cosh v+ cosh u. sinh v и.

A: Consider the Identities for hyperbolic functions and expand the given expression.…