P-A.1 Convert the following to polar form: (a) z=0+ j2 (c) z=(-1,1) (b) z=−3j4 (d) z = =(0,-1) P-A.2 Convert the following to rectangular form: (a) √√2 (3/4) (c) 1.6/(π/6) (b) 3e−j(π/2) (d) 72(7) P-A.3 Evaluate the following by reducing the answer to rectangular form: (a) j³ (c) e³(+2πm) (m an integer) (b) 2n (n an integer) (d) j 1/2 (find two answers) P-A.4 Simplify the following complex-valued expressions into both Cartesian and polar form: (a) (√2-j2)8 (b) (√√2-j2) (c) √2 – j2) 1/2 (d) 3еj2π/3 4e-j/6 (e) {je-j*/3}

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I need help with this problem and an step by step explanation of the solution from the image described below. (Introduction to Signals and Systems: A complex Numbers)

P-A.1 Convert the following to polar form:
(a) z=0+ j2
(c) z=(-1,1)
(b) z=−3j4
(d) z =
=(0,-1)
P-A.2 Convert the following to rectangular form:
(a) √√2 (3/4)
(c) 1.6/(π/6)
(b) 3e−j(π/2)
(d) 72(7)
P-A.3 Evaluate the following by reducing the answer to rectangular form:
(a) j³
(c) e³(+2πm)
(m an integer)
(b) 2n (n an integer) (d) j 1/2
(find two answers)
P-A.4 Simplify the following complex-valued expressions into both Cartesian and polar form:
(a) (√2-j2)8
(b) (√√2-j2)
(c) √2 – j2) 1/2
(d) 3еj2π/3
4e-j/6
(e) {je-j*/3}
Transcribed Image Text:P-A.1 Convert the following to polar form: (a) z=0+ j2 (c) z=(-1,1) (b) z=−3j4 (d) z = =(0,-1) P-A.2 Convert the following to rectangular form: (a) √√2 (3/4) (c) 1.6/(π/6) (b) 3e−j(π/2) (d) 72(7) P-A.3 Evaluate the following by reducing the answer to rectangular form: (a) j³ (c) e³(+2πm) (m an integer) (b) 2n (n an integer) (d) j 1/2 (find two answers) P-A.4 Simplify the following complex-valued expressions into both Cartesian and polar form: (a) (√2-j2)8 (b) (√√2-j2) (c) √2 – j2) 1/2 (d) 3еj2π/3 4e-j/6 (e) {je-j*/3}
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