a) Simplify the following expressions in standard form. (i) (5i"+6i° +2i?–3i*)+(-4+7i) 7-4i (ii) 2– 3i (b) Express -7/3+ 7i in polar form and hence find (-7/3+7i)° in polar form and standard form.

Q: Write each of the given numbers in the polar form re", -T <0<T. -27 -27 CoS +i sin 9 (a) r = 6 — 6і…

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Q: Write z = 9-3/3i in polar form. O z= 36 cis- 117 6 117 O z = 6V3cis- 6 O z = 6V3 cis " Oz = 6/2 cis…

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Q: Perform the indicated operation: 13 [ cos (142°) + i sin (142°)]* 14 [ cos (74°) + i sin (74°)] Give…

A: Given: cos(142°)+isin(142°)*14cos(74°)+isin(74°)

Q: Convert from rectangular to polar form. 5 - 5i 05/2 (cos 135° + i sin 135°) 05/2 (cos 315° + i sin…

A: The given number, 5-5i

Q: (1245°) (3260°) (1230°)-(22-45°) 520.3πί 12επί (Express your answer in rectangular form) answer in…

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Q: Represent the following numbers in polar, determine the magnitude or absolute value of each number…

A: Given complex number is…

Q: Represent the following numbers in polar, determine the magnitude or absolute value of each number…

A: Here we have to answer the second bullet point:   Find the magnitude and absolute value and angle of…

Q: Find the four fourth roots of 7+27 and express the roots in polar form. [A] 1.64 cis 3.99°, 1.64 cis…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 5. Write the given number in the polar form 2+2i a) -√√3+i b) (1 + i)18

A: A detailed solution is given below.

Q: express the answer in polar form (3 + 4)² [2430° + 2 <20° + 6e0.25³²] (3+ 7i) (5 La5°) + [3420*]²

A: It is given that 3+4i22·∠30°+2·∠20°+6e0.252i3+7i5·∠25°+3·∠20°2. The objective is to simplify the…

Q: Express each of the following numbers in polar form (reje, with in radians) without using a…

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Q: Find the quotient and write it in rectangular form using exact values. 10( cos 100° + i sin 100°) 5…

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Q: Write the following numbers in the polar form r(cos 0 + i sin 6), 0 < 0 < 2n. (a) 3 r = .0 = (b) 8i…

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Q: 2 5-7 sin(0) Rewrite the Polar equation r = Cartesian equation. Upload your work here: Choose File…

A: Given polar equation is r=25-7sin(θ)

Q: Convert the given complex number from the given rectangular to the polar form of r(cos 0+j sin 0).…

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Q: Perform the indicated operation: 9 [ cos (289°) + i sin (289°) ] * 14 [ cos (197°) + i sin (197°) ]…

A: Given that                                9cos(289°)+i sin(289°)×14cos(197°)+i sin(197°) we can…

Q: Find the 4th roots of the equation below. Convert the answers to rectangular form in radians. 24 =…

A: z4=81(cosπ6+isinπ6)⇒z=81(cos(2kπ+π6)+isin(2kπ+π6)14…

Q: d. (1+)1/4 (1.069 + 0.212i),(-0.212 + 1.069i),(-1.069 – 0.212i),(0.212 + 1.069i)

A: Question: Find the roots of 1+ι14

Q: Perform the indicated operation: 10 [ cos (18°) + i sin (18°) ] / 11 [ cos (63°) + i sin (63°) ]…

A: given complex numbers, Z1= 10 [cos(18) + isin(18)] Z2 = 11 [cos(63) + isin(63)] here we need to…