A. Perform the given operation, answers in rectangular and polar form: 1. ( 4+ i V3 )(3 – 2i) 2. 4i (3 + 3i ) 4. [7(cos1350+isin135°)][2(cos75 0+isin75)] 3/3-2i 3. 5. 12(cos 642+i sin 642) 2(coc?124i cin 212)

Q: Find the polar form of - 3-5i.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 6. Write [2(cos15°+isin15°)J in rectangular form. (c) 4+4i (d) 4/7 + 4i/7 (a) 3+3i (b) 3/2 + 3i/7

A: Distribute the exponent 3, then for the polar part 3 will multiply with the angles.

Q: Substitute cos 60 = u. Differentiate with respect to e on both sides. sin 60 de = du

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Q: 1. Convert –2 + 2/3i to polar form in radians.

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Q: (j4+43)(2cjs(-35°))* j" (32cjs40°) 5. Let @= .Simplify o and write it in rectangular form. -63

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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: 4. 2(cos 225+ i sin 225) 2(cos 240+ i sin 240) Simplify

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Q: Simplify the following in polar and algebraic form: (1+5i)³ -1+2i

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Q: Perform the indicated operation (Hint use DeMoivre's Theorem): 14 [ cos (195*) + i sin (195°) ]* 15…

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Q: Find the rectangular form of 3/2 et* i.e. the a + bi form.

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Q: The quotient of z1 =6 cis (2/3); z2 =2 cis (1/6) in trigonometric form is;

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Q: If Z1 = - 10 + 5i and Z2 = 16 - 8i, determine the following: Z,Z2 in polar form. COMPLETE THE…

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Q: Find the Cos x if the point (-4, 6) is on the terminal ray for x, and the triangle is drawn in…

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Q: i. Find [2(cos120° + jsin120°)]5

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 4) a) Find all solutions of sinhz = 0. b) Evaluate and express your answer for the following…

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Q: Perform the indicated operation and convert your final answer to polar form z = r(cos0 + isin®) 1.)®…

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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: Determine the area inside 1 petal of the polar flower graphed by the equation r = 2 sin 50. -2 --2-…

A: The equation is r=2sin5θ Now we have to find where the loop begins and ends by putting r=0 0=sin5θ…

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: . -15-10i to Polar form 2. -20+25i to Polar form

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Q: 5. Solve the equation z = 2 – 51. Use radians and leave your answer in polar form. Round numbers to…

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