What is the result of multiplication of complex numbers -V3 + i and (cos + i sin ) ? A)1(cos 뚫 +isin 뚫) В 글 (cos 플 + isin 플) 글 (cos 플 + isin 플) D)1(cos + isin 뚫) 3.

Q: How many complex numbers satisfies both equations, Iz- il = 2 and |z- 4i|l = 1?

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6. (5, 4) 2 - Real…

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Q: Express the complex number z = 6 cis 180° in rectangular form a + bi. Select the correct answer…

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Q: Suppose z is a complex number that possesses a fourth root w that is neither real nor pure…

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Q: If z,,z, are two complex numbers then: ||z.|-|z2||>|z,-z z. +z_ s z +z]. z +z_ = z +/z

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Q: Find the quotient z1/z2 of the complex numbers z1 = cos 80° + i sin 80° andz2 = cos 200° + i sin…

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6 (-2, 3) 2 (4, 1) +…

A: According to the graph we can write the points as                                            A = 4 +…

Q: 2) Suppose 1 and w are complex numbers, show that Aw =

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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: The polar form of complex number

A: In this question, we have to write the polar form of the complex number

Q: Let z be a complex number. Then i(cosh(3z) + sinh(3z)) a, ie3z b. ie-3z с. е 3г

A: The given expression is icosh3z+sinh3z where z is a complex number.

Q: Suppose the product z1z2 of two complex numbers is a nonzero real constant. Sho 2 kz1, where k is a…

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Q: Write down the complex number 1 + V3i in polar form. (Hint: notice that cos (중) -글)

A: The polar form of a complex number a+bi is r(cosθ+isinθ) where r is the absolute length of the…

Q: snip

A: A complex number can be written in the cartesian form a+bi and the equivalent polar form reiθ. Polar…

Q: True or False The polar form of a nonzero complex number is unique.

A: The polar form of a nonzero complex number is unique.

Q: Let z be a complex number. Then coth(2+7ti) is equal to cothz -cothz tanhz None of these -tanhz

A: Solution

Q: Let z be a complex number. Then sin (3z) -i is bounded in C . TRUE OR FALSE

A: It is an application of Linville's theorem

Q: Let z be a complex number. Then coth(2+Ti) is equal to -tanhz O None of these O -cothz O cothz O…

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Q: Let z be a complex number .then cos (3z)-I bounded or not

A: Substitute z=x+iy, then convert into real and get known real valued function which is unbounded.

Q: Find the cube roots of the complex number z = 125 (cos(60°) + i sin(60°)). Select all correct…

A: We have to find cube root of given complex number.

Q: Suppose z is a complex number that possesses a fourth root w that is neither real nor pure…

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Q: How many complex numbers z with |2| = katisfies the equation 2 %3D

A: z=1⇒z2=1⇒zz¯=1⇒z¯=1z

Q: Let z be a complex number. Then tanh(z+Ti) is equal to * cothz -tanhz None of these tanhz -cothz

A: We know that hyperbolic identities

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 (4, 7) 6 4 2 6 8 Real…

A: To find :               The sum of complex number in complex plane.         Adding/Subtracting…

Q: Let z be a complex number. Then coth(2+m) is equal to * Ocothz O cothz O None of these tanhz, O…

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Q: Is it true that the quotient of two complex number is obtained by dividing their moduli and…

A: Given question says "Is it true that the quotient of two complex number is obtained by dividing…

Q: Let z be a complex number. Then coth(z+JTi) is equal to -tanhz O None of these tanhz cothz -cothz

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Q: Find the distance between the complex numbers in the complex plane. -з - 6і, 6 + 2i

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Q: w=tan inverse[ ((1-z)/(1+z)) ] is a complex function, what is the mapping conformal  of unit circle…

A: We will find the first seethe image of (1-z)/(1+z) when IzI=1

Q: Express the complex number z=-4 in polar form r cis8.

A: z= -4 can be written as z= -4 + 0i  -4+0i is on the negative x axis.

Q: Multiply. Leave Answers in trigonametric form. 21=1+1, 22=-3-3i %3D

A: Given complex numbers are z1=1+i,z2=-3-3i. Multiply the above numbers as follows.…

Q: Show that the conjugate of the sum (product, or quotient) of two complex numbers, z1 and z2 , is the…

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Q: Let z be a complex number. Then coth(2+ Ti) is equal to O None of these O -cothz O cothz O tanhz O…

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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: Let z be a complex number. Then tanh(2+JTi) is equal to cothz -cothz None of these -tanhz O tanhz O…

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Q: Show that the modulus of sum or difference of two complex numbers is always less than or equal to…

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

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Q: The variable z is often used to denote a complex number and 7 is used to denote its conjugate. If z…

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Q: Let z be a complex number. Then coth(2+Ti) s equal to * ● -tanhz O None of these ) -cothz O cothz O…

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Q: Let z be a complex number. Then i(cosh(3z)+sinh(3z))=e^(3z)?

A: Explanation of the answer is as follows

Q: z = r(cos 0+isin 0).

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Q: Show that if z1 and z2 are complex numbers then (z1/22) = Zī/22.

A: Given, z1 and z2 are two complex numbers and we have to show,

Q: How many complex numbers satisfies both equations, z - i = 2 and |z– 4i| ='1?

A: z=x+iyThen,z-i=2x+iy-i=2x+iy-1=2…

Q: Let z be a complex number. Then coth(2+ Ti) is equal to None of these -tanhz tanhz cothz -cothz

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8. (-2, 6) 4 2. (6, 1)…

A: In this question we have to find the sum of complex number.

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 1아 8- 6 (2, 6) (-1, 5) 4 2…

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

A: Given,   z1=5(cos4π3+i sin4π3)  andz2=10(cosπ3+i sinπ3) To find quotient z1z2: We know that,…

Q: what are the complex numbers z1 and z2? for z1 i got z1= 3(cospi/12 + isinpi/2), z2= 2(cos7pi/12 +…

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