Question
Evaluate each of the following in r + iy form, and compare with a computer solution 1. In(-e) 2. In(-i) 3. In(i+3) In ()
Evaluate each of the following in r + iy form, and compare with a computer solution 1. In(-e) 2. In(-i) 3. In(i+3) In () 4. In(i-1) 7. 10. 13. 2/m 16. 19. cos(x +i In 2) 22. 1+i3 sin 5. In(-2-i2) 8. 12/3 11. 2 14. (2f)+* 17. (i-1)+ 20. sin (i in 11) 6. In 9. (-1)* 12. +1 15. (-1) sin 18. cos(2i Ini) 21. cos[i ln(-1)] 23. (1-2i). Hint: Find 2i firs 24. Show that (a) can have more values than ab. As examples compare (a) [(-i)+2- and (-i)(2+0)(2-) = (-i); (b) (2) and i.
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