(a) Use the addition formulas for sinh x and cosh x to prove tanh(u + v) = tanh u + tanh

Chapter 1, Problem 52

(choose chapter or problem)

(a) Use the addition formulas for sinh x and cosh x to prove tanh(u + v) = tanh u + tanh v 1 + tanh u tanh v (b) Use (a) to show that Einsteins Law of Velocity Addition [Eq. (3)] is equivalent to w = u + v 1 + uv c2

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