Find all complex numbers z such that z=-15-8i, and give your answer in the form a+bi. Use the square root symbol 'V' where needed to give an exact value for your ar

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-2 - 7i

A: z=-2-7i Now, r=-22+-72=53 & θ=tan-1yx=tan-1-7-2=π+tan-172      ∵The given complex number lies in…

Q: Find the product of the two complex numbers. 21 = 3 (cos 10 +i sin 10") and zg=-2(cos 35" +i sin…

A: Given: x1=3(cos 10°+i sin10°) and x2=-2(cos 35°+i sin 35°)

Q: Find the product of the complex numbers z1 = 4(cos 15° + i sin 15°) and z2 = 7(cos 25° + i sin 25°).…

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Q: Find the 5™ roots of the complex number [(2+x) – 5i] , where x = last digit of your ID Number.

A: To find- Find the 5th roots of the complex number 2 + x - 5i, where x = 2

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-4 - 4i

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-4 - 4i

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-10 + 10i

A: We have given  z = -10 + 10i    Now, z can written as reiθ    r =  (-10)2+ 102              [ As if…

Q: Rewrite the complex number 7e“ in a + bi form. Round to two decimal places.

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Q: Find the quotient z1/z2 of the complex numbers z1 = 12(cos 3π/4 + i sin3π/4) and z2 = 4(cos π/4 + i…

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Q: 2+7i 3-3i

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.15

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.

Q: find the quotient z1/z2 of the complex numbers z1 = 10(cos 10° + i sin 10°) and z2 = 5(cos 5° + i…

A: The complex numbers z1 = 10(cos 10° + i sin 10°) and z2 = 5(cos 5° + i sin 5°). We need to find the…

Q: Find all complex numbers z satisfying z³ = 27i and give your answer as a comma-separated list of…

A: We have to find Z value

Q: Use the trigonometric form of a complex number to show that z-n = 1/zn , where n is a positive…

A: To prove the given identity

Q: Find two complex numbers a + bi in which a 0 V17 and b 0 with a modulus of

A: topic - complex numbers

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos π/5 + i sin π/5)and z2 = 4(cos π/10 + i…

A: Given:         z1 = 3(cos π/5 + i sin π/5)  and        z2 =  4(cos π/10 + i sin π/10)

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-5√3 - 5i

A: given the complex number -5√3 - 5i. We need to convert the following into trigonometric form.

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-12i

A: Consider the complex number  −12i

Q: −j j sin² zdz

A: Consider I=∫-jjsin2zdz

Q: Find all complex numbers that are solutions of the given equation. Leave your answers in standard…

A: Consider the equation : z3+8i=0. Find the solutions of the given equation. z3+8i=0z3-8i3=0…

Q: Find two square roots for the complex number: 25(cos120degrees +isin120degrees) answer in…

A: Given, 25cos120°+isin120°

Q: Vz1 (principal root) O 4.3525 - 1.0275i O 4.3525 + 1.0275i O 2.0582 - 0.4859i O -2.0582 + 0.4859i

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-17

A: Let z=−17⇒z=−17+i0The complex form z=x+iy in trigonometric form is written asz=rcosθ+isinθ,…

Q: Find the quotient z1/z2 of the complex numbers z1 = 50(cos 4π/3 + i sin 4π/3) and z2 = 5(cos π/3 + i…

A: Find the quotient z1/z2 of the complex numbers .

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given :            -22 + 22i15   To change the given complex number to the form a + bi using De…

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-5

A: Let  z = x + iy  then  z can br written as reiθ where r = x2+y2           θ = tan-1yx

Q: Express the complex number z = 12 cis * in rectangular form a + bi.

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Q: Plot the complex number z = 3 and find its absolute value.

A: Consider the given: z=3It can be written as:z=3+0iComparing z=x+iy,here,x=3,y=0

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-4√3 + 4i

A: Given: -4√3 + 4i Here  x=-43, y=4r=x2+y2=-432+42r=163+16=64r=8                        ... taking…

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given: Let z=1-3i3 To Find: To change the given complex number into a+ib form using De Moivre’s…

Q: Find all complex numbers that are solutions of the given equation. Leave your answers in standard…

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Q: Find all the complex fourth roots in rectangular form of w = 64 cos +i sin %3D (Type your answer in…

A: To find the fourth root of the given complex number.

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-20i

A: -20i

Q: Find the quotient z1/z2 of the complex numbers z1 = 50(cos 80° + i sin 80°) and z2 = 4(cos 25° + i…

A: We have to find quotient z1z2 of the complex numbers: z1=50cos 80°+i sin 80° and z2=4cos 25°+i sin…

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos 5π/18 + i sin 5π/ 18) and z2 = 10(cos π/16…

A: Given two complex numberz1 = 3cos5π18 + i sin5π18z2 = 10cosπ16 + i sinπ16

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.1 - 3i

A: Consider the complex number: 1-3i. Write in the trigonometric form   A complex number a+ib in the…

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.4 + 5i

A: Given that, the complex number 4+i 5 Express the complex number in trigonometric form with 0 ≤ θ…

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.2 - 2√3 i

A: Given complex number is: z=2-23i Let us consider, r cos θ=2r sin θ=-23 Then we get,…

Q: Plot the complex number z = 3i and find its absolute value.

A: Plot the complex number z = 3i and find its absolute value.

Q: Z is a complex number

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Q: Express the complex number z = 10 cis 270° in rectangular form a + bi.

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Q: Find all complex numbers z such that z2=-15+8i, and give your answer in the form a+bi. Use the…

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.12

A: 12+0i

Q: Find all complex square roots of -2+2/3i. In other words, find all complex solutions of x=- 00..

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.4 - 3i

A: Given: z=4-3i We know that any given complex numberz=a+ib can be written in polar form as below…

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-5 - 5√3i

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-5 - 5√3i

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.3 - 3√3i

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.3 - 3√3i = 3 (1 - √3i) Multiply…

Q: Convert the complex number 4(cos(30°) + j sin(30°)) = Z from trigonometric form to rectangular form.…

A: The trigonometric form for a complex number is : z=r(cos θ+ jsin θ) . The rectangular form for a…