Real and Imaginary parts. 2. [10 marks Find all solutions to the equations 2 a) (b)...
Real and Imaginary parts. 3. [10 marks. Evaulate Ση--n eln. and deduce that sin( (n0) sin
Q4: 3 marks each part Answer 2 parts from the following (a) Find the real and imaginary parts of each side of 1+a ei + az ezi® + ... = (1 - a el®)-1 (b) 2 Show that sin z cosh 2y-cos 2x (C) 1 Find the residues of at all its poles. e2z-ez
(10 pts) Calculate the following a) Find the real and imaginary parts of e 3+nj b) Find the real and imaginary parts of ez? c) Write in polar form: 1+j
I 5) (10 pts) Calculate the following a) Find the real and imaginary parts of e8**) b) Find the real and imaginary parts of c) Write in polar form: 1+1
Find all real number solutions to the following equations. Please answer in radians. a. sin(−?) = − 1/2 b. tan 2? = −√3
QUESTION 1 (50 marks total) (-5j) - j(j+3) (j-2)' a) Find the real and imaginary parts of complex number z = |4j-31 Present this number in both polar and exponential forms. Show it on the Argand diagram. (20 marks)
12. Find all solutions with 0 <I<27: sec r = -2 13. Find all real solutions: sin r 2 14. Find all real solutions: 3 tan (3x) + 1 = 0
using synthetic division please using complex zeros 2. Find all 6 solutions (real and imaginary) to the equation. x6 = 64
Find the real and imaginary parts of the following (a) 3 /2 (b)c- (c) e3+12 (d)e-0-) (e)j
Need help for part(b) thx :) Question 1: Find the real and imaginary parts, u and y, and the natural domain of (a) f(2)=z + (6) 9(2) = cc-*