Let z be a complex numbers. Then cot(5z-pi)=?

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number (-2 - 2i)5. Write answers…

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

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [4(cos 15° + i sin 15°)]3.…

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [√3 (cos 5π/18 + i sin…

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Q: ind all complex numbers z such that z=-3-4i, and give your answer in the form a+bi. Use the square…

A: Given: z2=-3-4ilet z = x+yi   then z2=x+yi2substituting z2=x+yi2 in z2=-3-4i…

Q: Write the complex number z = 4-4/3i in trigonometric form (sometimes called polar form). Express the…

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

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

A: We have to check

Q: Given two complex number (2 + i) and (-3 + i), find the distance between the two numbers on the…

A: NOTE: Refresh your page if you can't see any equations. . two complex numbers are

Q: Convert the complex number to rectangular form. 8( cos 1 +i sin 1-π) 6

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

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Q: 11.Write the complex number 3e in polar and rectangular form

A: Given:     Z = 3ei(4π/3)

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

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Q: Let z be a complex number. Then cot(5z-pi) = cot(5z)?

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Q: Given the complex number   z=x+yj. Determine z .   Express your final answer in rectangular form

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

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

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Q: Write the complex number z = 1 + I square root of 3 in polar form with the angle in degrees.

A: given,         z=1+3i

Q: Graph the complex number, find its modulus and put the complex number in polar form with arguement Θ…

A: -1 - sqrt(3)/3 i = -1 - 0.577i (approx) This is similar as (-1,-0.577). Plotted it on graph.

Q: Write the complex number in standard form. 5(cos(3pi/4)+i sin (3pi/4))=___+___i

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Q: The complex number (−9+7i)/(9+5i) rewritten in Cartesian form is?

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

A: Our objective is to write the given complex number in standard form.

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [2(cos 40° + i sin 40°)]3.…

A: Given that, [2(cos 40° + i sin 40°)]3 DeMoivre’s Theorem: If r(cosθ+isinθ) is a complex number, then…

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

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

A: By DeMoivre's Theorem, [2(cos 20° + i sin 20°)]3 = [23(cos 60° + i sin 60°)]. We know that cos60∘…

Q: The magnitude of the complex number esin(teta)+jcos(teta) is

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

A: 3+3i5 Consider, z=3+3i Now, z=32+32=32&θ=tan-1yx=tan-133=tan-11=π4 Now trigonometric form is,…

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

A: The objective used to use Demoivre's theorem to find the indicated power of the complex number and…

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number (1 + i)5. Write answers in…

A: Explanation: Given that,  Complex number, (1+i)5 Convert this rectangular form into the polar form…

Q: Convert the complex number 9/3 9 i to polar form. Give exact answers for r and 0 (no decimals).

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Q: Graph the complex number, find its modulus and put the complex number in polar form with arguement Θ…

A: Graph the given complex numbers as shown below.

Q: 1. the complex numbers given in polar form (re®) explain a) 2+2v3i b) -5 + V3i c) -V6 – VZi d) -3i

A: See the attachment

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number (1 - i√3)2. Write answers…

A: Known theorem: cosθ+isinθn=cosnθ+isinnθ.

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

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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: Find the distance between the complex numbers in the complex plane. -2 6i, 6 + 5i

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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: Use De Moivre's Theorem to find the complex number raised to a power. Write your answer in standard…

A: Given : Now,

Q: cos 4 + i sin IT18

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Q: Let z be a complex number. Then cot(5z-pi)=coth(5z)?

A: According to the given information, it is required to check whether the given statement is true or…

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

A: Given, The expression cosπ2+isinπ26. Problem is to evaluate it using DeMoivre's Theorem. Recall:…