the complex number 6√3+6i in polar form 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4) 12(cos(n/2)+isin(n/2) O 12(cos(3n/2)+isin(3/2)

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A: Magnitude of all three required complex numbers are 52​Explanation:Approach to solving the question:…

Q: The complex numbers Z₁ and Z₂ are defined as follows: ²₁ = 5 (cos(²) + i sin(2)) ²₂ = = 2 (cos() + i…

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Q: a) Simplify the following expressions in standard form. (i) (5i"+6i° +2i?–3i*)+(-4+7i) 7-4i (ii) 2–…

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Q: 2. (a) Find the modulus and principal argument of the following complex numbers: (i) -2(√3+i), πT…

A: A complex number is written as z=a+ib. in which a, b are real numbers. a is called the real part and…

Q: Give an example of a reduced cubic in the form x = 3px + 2q with three real roots but where q – p³ <…

A: Question: Give an example of a reduced cubic in the form x3=3px+2q with three real roots but where…

Q: A complex number z satisfies arg z = 5. (a) Use a diagram to show that |z-2i| > 1. (b) For which…

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Q: -5 cos 2B cos 6B -5 cos 4B + 5 sin 8B -5 cos 8B – 5 sin 4B 2 2 -5 cos 4B – 5 sin 8B -5 cos 4B – 5…

A: Solve : -5cos2Bcos6B Use formula = [cos(a-b)+cos(a+b)]/2

Q: b) 2 cos² x + 3 cosx+1 = 0

A: Step 1:   Step 2: Step 3: Step 4:

Q: The complex numbers Z₁ and Z₂ are defined as follows: Z₁ = 3 (cos(−2¹) + i sin(−2π)) 4 4 ²2 = 2…

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Q: The complex numbers Z₁ and Z₂ are defined as follows: ²1 6 (cos(4) + i sin(4T)) = Z₂ Calculate = 12…

A: The given complex numbers are…

Q: The complex numbers Z₁ and Z₂ are defined as follows: = 0.5 (cos(-2) + i sin(-2)) 6 6 ²1 ²₂…

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Q: The complex number Z is defined as follows: Z = (1+√3i)5 Calculate z in polar form, where Z = |Z|…

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Q: The complex numbers Z₁ and Z₂ are defined as follows: = 4 (cos(²T) + i sin(²) ²₁ Z₂ Calculate = 8…

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