Express the following numbers in rectangular form (real and imaginary). (a) 9 39°= +i (b) 20 -15° = (c) 14/145° = (d) 15 -147 = +1 +

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Chapter1: Functions And Models
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Express the following numbers in rectangular form (real and imaginary).
(a) 9 39°= +i
(b) 20 -15° =
(c) 14 2 145° =
(d) 15 2-147° = +1
Find the following expressions. The angle is in degrees and between-180° and +180°.
(a) (27+j (26)) (19 - 104°)=40*
(b) (1 216°) (-19+i (14)) = 40
(c) (-20+) (-17))/(2 159°) =
(d) (12-25%)/(16+) (-30)) =
Write the complex number z=(-1-√3)¹6 in polar form: z=r(cos+ i sin 6) where
r= |and 6 =
The angle should satisfy 0 ≤ 0 <2m.
V
What is the square root of i? (That is, what is Vi?)
OA. -i
OB.-1
Oc. (1+¹)
D. (1 - i)
E. Does not exist
Consider the equation = (1+√31). Find the value of which satisfies this equation and which has
the second smallest positive argument 0,0 <0 < 2. Express your answer as :=re where
T=
and 8=
6
Transcribed Image Text:Express the following numbers in rectangular form (real and imaginary). (a) 9 39°= +i (b) 20 -15° = (c) 14 2 145° = (d) 15 2-147° = +1 Find the following expressions. The angle is in degrees and between-180° and +180°. (a) (27+j (26)) (19 - 104°)=40* (b) (1 216°) (-19+i (14)) = 40 (c) (-20+) (-17))/(2 159°) = (d) (12-25%)/(16+) (-30)) = Write the complex number z=(-1-√3)¹6 in polar form: z=r(cos+ i sin 6) where r= |and 6 = The angle should satisfy 0 ≤ 0 <2m. V What is the square root of i? (That is, what is Vi?) OA. -i OB.-1 Oc. (1+¹) D. (1 - i) E. Does not exist Consider the equation = (1+√31). Find the value of which satisfies this equation and which has the second smallest positive argument 0,0 <0 < 2. Express your answer as :=re where T= and 8= 6
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