Express the following complex numbers in rectangular form. Show how you get the answer and use a calculator to verify your answer. E. g. 2 pts for 2∠30°=2 (cos30°+? sin30°) = 1.73+?; 1 pt for 2∠30°=1.73+?. Same grading criteria as 1.4. (a) ?1=5?30° (b) ?2=-3 ∠ (-45°) (c) ?3=2∠ (-90°)

the question is incomplete, below is the complete question

"ress the following complex numbers in rectangular form. Show how you get the answer and use a calculator to verify your answer. E. g. 2 pts for 2∠30°=2 (cos30°+jsin30°) = 1.73+j, 1 pt for 2∠30°=1.73+j. Same grading criteria as 1.4. (a) Z1=5eⁱ³⁰ (b) z2=-3 ∠ (-45°) (c) z3=2∠ (-90°)

answer

a. Z1=4.33+j2.5

b. Z2=-2.12+j2.12

c. Z3=-2j

Step-by-step explanation

note that

Z=reⁱⁿ=r (cosπ+jsinπ)

hence from Z1=5eⁱ³⁰ wen have

Z1=5 (cos30+jsin30)

Z1=5 (0.8660+j0.5)

Z1=4.33+j2.5

b. also from z=r∠ (π) = r (cosπ+jsinπ)

Hence,

z2=-3 ∠ (-45°) = -3 (cos (-45) + jsin (-45))

Z2=-3 (0.7071-j0.7071)

Z2=-2.12+j2.12

c. z3=2∠ (-90°) = 2 (cos (-90) + jsin (-90))

Z3=2 (0-j)

Z3=-2j