6.) Prove the following identities involving the hyperbolic trigonometric functions. cosh (21+22) = cosh (21) cosh(22) + sinh(21) sinh (22) sinh (21+ 2) = cosh(21) sinh(22) + sinh (21) cosh (22) Use the definition of sinh and cosh, the identity eiz = cos(z) + i sin(2), and the relationships between sine and cosine and sinh and cosh. (HINT: You may want to use z = -i(iz) and z = i(iz).) -
6.) Prove the following identities involving the hyperbolic trigonometric functions. cosh (21+22) = cosh (21) cosh(22) + sinh(21) sinh (22) sinh (21+ 2) = cosh(21) sinh(22) + sinh (21) cosh (22) Use the definition of sinh and cosh, the identity eiz = cos(z) + i sin(2), and the relationships between sine and cosine and sinh and cosh. (HINT: You may want to use z = -i(iz) and z = i(iz).) -
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 81E
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