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Category: Algebra

1-The-function-H-is-defined-by-H-x-3cosh-x-3-sinh-x-3-Find-the-value-of-for-which-H-ln-3-4-2-Prove-that-2-4-6x-1-2x-3-3x-2-dx-ln-10-3-Show-that-sin-sin2-1-cos-cos2

Question Number 214658 by ChantalYah last updated on 15/Dec/24 1)ThefunctionHisdefinedbyH(x)=3coshx3+sinhx3.FindthevalueofλforwhichH(lnλ3)=42)Provethat246x+1(2x3)(3x2)dx=ln10.3)Showthatsinθ+sin2θ1+cosθ+cos2θtanθ4)Ifz=cosθ+isinθ,Showthatz+1z=2cosθandthat$$\mathrm{z}^{\mathrm{n}} +\frac{\mathrm{1}}{\mathrm{z}^{\mathrm{n}} }=\mathrm{2cos}\:\mathrm{n}\theta\:\mathrm{hence}\:\mathrm{or}\:\mathrm{otherwise}\:\mathrm{show}\:\mathrm{that}\:…