Verify each of the following by using equations (11.4), (12.2), and (12.3). sin z =sin(x +...

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Verify each of the following by using equations (11.4), (12.2), and (12.3). sin z =sin(x + xy)=sin r cosh y + cos e sinh 1. 2. 4. 6. 8. 10. cos z = cos a coshy - i sina sinh y cosh z coshacos y + i sinha sin y cos 2z = cos²z - sin² z 2- cosh 2 cosh²z+ sinh² z d dz = cosh z= sinh: 3. 5. 7. 9. sinh 2 = sinh cos y + icosh z sin y sin 2z = 2 sin z cos z sinh 2z = 2 sinh : cosh z d cos z = - sinz 11. cosh®z– sinh z=1 2- Verify each of the following by using equations (11.4), (12.2), and (12.3). sin z =sin(x + xy)=sin r cosh y + cos e sinh 1. 2. 4. 6. 8. 10. cos z = cos a coshy - i sina sinh y cosh z coshacos y + i sinha sin y cos 2z = cos²z - sin² z 2- cosh 2 cosh²z+ sinh² z d dz = cosh z= sinh: 3. 5. 7. 9. sinh 2 = sinh cos y + icosh z sin y sin 2z = 2 sin z cos z sinh 2z = 2 sinh : cosh z d cos z = - sinz 11. cosh®z– sinh z=1 2-

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Answer To verify each of the given equations using equations 114 122 and 123 well substitute the expressions for the hyperbolic functions into the equations and simplify them Lets go through each equa... View the full answer