Write the complex number z=-4+2i in trigonometric form (sometimes called polar form). Express the angle 0 in radians, where 0<0 <2n. Do not round any intermediate computations, and round the values in your answer to the nearest hundredth. = Ccos] |+ i sin[) Z = ?

Q: Write the complex number in trigonometric form r( cos 0+ i sin 0), with 0 in the interval [0°,360°).…

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Q: To convert a complex number from rectangular form, z = a + bi, to polar form, z = r(cos e + i sin…

A: We fill the blank spaces as,

Q: Write the complex number given in trig form into a standard rectangular form. 9 (cos180°+sin180° i)…

A: To solve this problem you have to put the values of cos180° = -1 and sin180° = 0.

Q: Write the complex number==-4+4i in trigonometric form (sometimes called polar form). Express the…

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Q: Write the complex number in trigonometric form r(cos 0 + i sin 0), with 0 in the interval [0°,360°).…

A:

Q: Write the complex number 5(cos π/2 + i sin π/2) in rectangular form. If necessary, round to the…

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Q: a) 2+2V31

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write the complex number 5( cos 285° + i sin 285°) in the form a +bi. 5( cos 285° + i sin 285°) =D…

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Q: Write the complex number 4(cos 210° + i sin 210°) in rectangular form. If necessary, round to the…

A: Given that: The complex number 4(cos 2100 + i sin 2100) To write the given complex number in…

Q: Write the complex number in trigonometric form r(cos 0+i sin 0), with e in 5.3+5i 10(cos 60° + i sin…

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Q: Determine the indicated roots of the given complex number. When it is possible, write the roots in…

A: Here we have to find the three roots of gicen complex number.

Q: Write the complex number = = 2-i in trigonometric form (sometimes called polar form). Express the…

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Q: Write the complex number z=-2+2i in trigonometric form (sometimes called polar form). Express the…

A: Solve the following

Q: Find two square roots for the complex number. Leave your answers in trigonometric form. 4 (cos 310°…

A: z=4(cos 310 +i sin 310)Take square root on both sidesz=4(cos 310 +i sin 310)z=2(cos 310 +i sin…

Q: E = [tan(1 – i)]j[cot(1+i)]

A: Given E=tan(1-i)cot(1+i) Since we know the formula tan(ix)-itanh(x) and cot(ix))=-icoth(x)

Q: To convert a complex number from rectangular form,z = a + bi, to polar form, z = r(cos θ + i sin…

A: The rectangular form of a complex number is z=a+ib the polar form is z=rcosθ+isinθ

Q: Write the complex number 6(cos 30° + i sin 30°) in rectangular form. If necessary, round to the…

A: Given:  6cos30°+isin30°sin30°=12cos30°=32

Q: Write the complex number z = -1+3i in trigonometric form (sometimes called polar form). Express the…

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Q: The complex number (cos+ i sin can be expressed in the form a + bi, where a, be R, as 31. COS 27 27…

A: solution:-

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number .Write answer in…

A: We have the DeMoivre’s Theorem as,

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: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in…

A: Note : DeMoiver's Theorem :If  r(cosθ + i sinθ) is a complex number then ,{r(cosθ + i sinθ)}n =…

Q: Write the complex number 8(cos 7π/4 + i sin 7π/4) in rectangular form. If necessary, round to the…

A: Explanation: Given that,  Complex number in polar form: 8cos7π4+isin7π4 Convert it into a…

Q: Convert the complex number from the given polar form to the rectangular form x+ yj. 9.00( cos 40.0°…

A: cos(40.0)° = 0.7660 sin(40.0)° = 0.6427

Q: Write the complex number Z = 5 /3 +5i in trigonometric form (sometimes called polar form). Express…

A: Given,           z=53+5i     We know that,          The polar form of a complex numbe z=a+ib is…

Q: Write the complex number : = 5i in trigonometric form (sometimes called polar form). Express the…

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Q: Write the complex number 20(cos 205° + i sin 205°) in rectangular form. If necessary, round to the…

A: Our Aim is to write the complex number 20[cos(205°)  + i sin(205° )] -(i)in rectangular form.

Q: Find the complex cube roots of 1+i, leave your answer in polar form with the argument in degrees.

A: Consider the complex number  To find - complex cube root of z

Q: Write the complex number z = 1-3i in trigonometric form (sometimes called polar form). Express the…

A:

Q: Write the complex number z= -2+2/3i in trigonometric form (sometimes called polar form). Express the…

A: Given,           The comples number z=-2+23iWe know that,           The polar form is given by…

Q: Find the indicated powers of the given complex number. Express the result in polar form, then…

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Q: Write the complex number in trigonometric form r(cos 0 +i sin 0), with 0 in the interval [0°, 360°).…

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [1/2 (cos π/12 + i sin…

A: Given, 12(cosπ12+isinπ12)6 We know that, The DeMoivre's theorem, rcosθ+isinθn=rncosnθ+isinnθ

Q: Write the given complex number in polar form and in then in the form a + ib. You may use the De…

A: By Euler's formula we have eix=cos x+i sin x. Using eixn=einx we get the De Moivre's formula cos x+i…

Q: Write the given complex number in polar form and in then in the form a + ib. You may use the De…

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Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number. Write answer in…

A:

Q: ne following complex number into its polar form r(cos 0+ i sin 0). 2/3 - 2i Give the value for r and…

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [√2 (cos 5π/6 + i sin…

A: We have to find indicated power of the complex number and we have to write it in rectangular form…

Q: Write the complex number 12(cos 60° + i sin 60°) in rectangular form. If necessary, round to the…

A: Given:12cos 60° + i sin60°

Q: Write the complex number z= 6+3i in trigonometric form (sometimes called polar form). Express the…

A:

Q: Convert the given complex number from rectangular to polar form. - 3/2 +3j/2 - 3-/2 + 3j/2 =(cos +…

A: We have to find

Q: Convert the complex number 8 cos +i sin to polar form. Give exact answers for r and 0 (no decimals).

A:

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number .Write answer in…

A: Given complex number:                                            2cos10°+isin10°3

Q: Write the complex number in polar form. 4+4i 4/2 (cos +i sin) (Type an exact answer in the first…

A: Given that, 4+4i Calculate the complex number in polar form.

Q: In the polar form of a complex number,r(cos θ + i sin θ), r is called the__________ and θ is called…

A: Given:Polar form of complex numberrcosθ +i sinθ