4V6(cos- 11 m +i sin 12 Võ(cos +i sin ) 11 m O Option 2 O Option 4 10 m 2V3(cos+ i sin ) V6(cos+i sin 12 12 O Option 1 O Option 3 3i+4 The conjugate of the complex number is :- 2-3i 1 18 18 1 13' 13 13 13 Option 4 Option 3 18 -1 18 i 13 13 13 13

Q: If u = 2 – 3i ,v = 1+ 2i and w = 4i then the complex uv number is | 8 8 (a) 글-i (b)-2i (c) 를-i (d)…

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Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.

A: we have to find the quotient of z1z2 where  z1=2cos5π3+isin5π3z2=cosπ2+isinπ2

Q: Express the complex number z = -6i in polar form r(cos 0 + i sin 0). Select the correct answer…

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Q: Write the complex number z = (-1 - (3)1/3i)16 in polar form: z = r(cosθ + isinθ). The angle should…

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Q: Z₁ Find the quotient of the complex numbers. Leave your answer in polar form. Z2 Z₁ = 24(cos 48° + i…

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Q: Find the product of the complex numbers. Leave your answer in polar form. z1 = 3 (cos 13° + i sin…

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Q: Z1 Find the quotient of the complex numbers. Leave your answer in polar form. Express the argument…

A: First rationalisation the given function and then apply trigonometric identities.

Q: Q3: Express complex numbers to polarform and draw them: 1. 5+2i. 2. 4i

A: As we know that we can represent a complex number from rectangular to polar form as :- Rectangular…

Q: - 3 4 - 5 10 Write each complex number in standard (or rectangular) form. Give exact values in your…

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Q: Find the square roots of the complex number z = 36 (cos() + i sin()). Select all correct answers.…

A: Given,  The complex number  z = 36cos7π9+isin7π9 We have to find the square root of  z

Q: Find the product of the complex numbers.Leave answers in polar form. z1 = 4(cos 15° + i sin 15°) z2…

A: Given complex numbers,  z1 = 4(cos 15° + i sin 15°) z2 = 7(cos 25° + i sin 25°) To find the product…

Q: 01. i) Write down the complex conjugates of the following complex numbers (a) –11 – 8i, (b) cos(wt)…

A: The complex number, z=a+ib, where 'a' and 'b' are real numbers.

Q: Write the complex number in rectangular form. 5) 8 cis 135° 5). A) &E - 4i B) 4E - 4ivE C) -4E + 4ir…

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Q: The complex number Z1and Zzare given by, Z1 = 3 – 5i and Z, = -1+4i Determine: 221 + 5Z2 O1+ 10i 01-…

A: Given: Z1=3-5i & Z2=-1+4i We know that; a+bi±c+di=a±c+b±di And ca+bi=ca+cbi, where c is scalar.

Q: 2 10 -2- -4 -6- -8- nd 3 – 2i, then find their product as a complex number. pllowing table: es…

A: We have to find the following conditions according to the given information

Q: Express the complex number z = 8 in polar form r(cos 0 + i sin 0). Select the correct answer below:…

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Q: 1. Martha makes an error converting the complex number -5/3 + 5i to polar form. Where did she make…

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Q: Find the product of the complex numbers.Leave answers in polar form. z1 = 3(cos 40° + i sin 40°) z2…

A: The given complex numbers are z1 = 3(cos 40° + i sin 40°)  and  z2 = 5(cos 70° + i sin 70°). Compute…

Q: Express the complex number z = 4 – 4/3i in polar form r(cos 0 + i sin 0). Select the correct answer…

A: Given: z=4-43i

Q: 111 Express the complex number z = 10 cis in rectangular form a + bi. Select the correct answer…

A: Explanation of the answer is as follows

Q: Зл 3 (cos()+ isin (4)) and z2 = 4 (cos() + isin (4)) be two complex numbers Let z1 %3D in…

A: Let z1 and z2 be two complex numbers in trigonometric (or polar) form. We have to find z1z2 , z1/z2…

Q: IV-1 Find the roots of the following complex numbers in polar form, correct to 3 decimal places. [4…

A: Thanks for the question :)And your upvote will be really appreciable ;) Correct Option :- C

Q: 8e2i 5e-0.7i Express the complex number p= to a rectangular form. Determine the quotient of in…

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Q: 21 of the complex numbers. Leave your answer in polar form. Z2 Find the quotient z1 = 35( cos 120° +…

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Q: 3.0 Convert the complex number 5+2 i to polar form.. ANS 5.39 21.8°. 4.0 Convert the complex number…

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Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Consider the given: z1=cos80°+isin80°z2=cos200°+isin200°

Q: You are given the complex number -- (1 + iv3)" (1-iv3)", neN. 72 Select the statement(s) that is/are…

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Q: 2. For the following complex numbers; peform the indicated operations. Expressresultsin rectangular…

A: Given:…

Q: xpress the complex number z = -2i in polar prm r(cos 0 + i sin 0). elect the correct answer below: )…

A: Use polar coordinate to solve

Q: 6) Divide the complex numbers, and leave the result in polar form. 8(cos 100° + j sin 100°) 4(cos…

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Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2 - i,z3 = -V3 – 3i and z4 = 4 + 4i 3.1 Represent the…

A: We have to solve given Questions

Q: a) Complex Numbers 1) (10 250°) (3 45°) Polar Rectangular 2) (220 2- 45°) + (45 230) Polar…

A: If z1=A1∠θ1 and z2=A2∠θ2 then, z1z2=A1A2∠θ1+θ2 Where A1 and A2 are magnitude and θ1 and θ2 are…

Q: 3n i Let z = V2 e 4. Write the complex number 1/z + 2° in normal form (in the form a + ib).

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Q: Express the complex number z = - 1 - (square root 3)i in polar form: Z = r ( cos ( θ ) + i sin ( θ )…

A: Explained below

Q: Find the product of the complex numbers. Leave answers in polar form." z1 = 3(cos40° + isin40°) z2…

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Q: 2n Express the complex number z = 8 cis 4 in 3 rectangular form a + bi. Select the correct answer…

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Q: 1 If a complex number z satisfies | -3 | z+3 find the largest %3D sin75 ° cos75°* Value of | z+i|.…

A: We are given that a complex number z satisfies z-3+z+3=1sin75∘ cos75∘ . So,…

Q: Plot the complex number. 3 + V3i Imaginary Imaginary axis axis 4 4 2 3 + V3 i Real Real -4 -2 4 axis…

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Q: Express the complex number z = -V2 - V2i in polar form r(cos 0+i sin 0). Select the correct answer…

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Q: Express the complex number z = -5/3 – 5i in polar form r cis 0. Select the correct answer below: 20…

A: Use the formula for the convargen in polar form of a complex number.

Q: Express the complex number z = 8 cis 300° in rectangular form a + bi. Select the correct answer…

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Q: Express the complex number z = 8 cis 300° in rectangular form a + bi. Select the correct answer…

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Q: Plot the complex number. 3 + V3i Imaginary Imaginary axis axis 4 2 Real Real -4 -2 4 axis -4 -2 2 4…

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Q: Question 9: Given that z = cos + i sin and u- iv = (1 + z)(1 − j²z²). Show that V = utan 30 2 r = 4²…

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Q: 7. Find the product of the following complex numbers. Leave answer in polar form. z1 = 5(cos 20° + i…

A: Given, z1 = 5cos20°+isin20° z2 =4cos10°+isin10°   We have to find the product of the above two…

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: the given complex number are: z1=cos 70°+i sin 70°z2=cos 230°+i sin 230° we have to find the…

Q: Find the quotient z1/z2 of the complex numbers. Leave the answer in polar form with the argument…

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