Use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. 75 + i sin 10 cos 10 15 +i sin 10 cos 10 (Type an integer or a simplified fraction.)

Q: Write the complex number given in trig form into a standard rectangular form. 9 (cos180°+sin180° i)…

A: To solve this problem you have to put the values of cos180° = -1 and sin180° = 0.

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: 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+i8  To Find: To change the given complex number into a+ib form using De Moivre’s…

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

A: We have to check

Q: Write the complex number 5( cos 285° + i sin 285°) in the form a +bi. 5( cos 285° + i sin 285°) =D…

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Q: Use DeMoivre's Theorem to determine the following power of a complex number. Write the answer in…

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

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Q: Find three cube roots for the complex number. Leave your answers in trigonometric form. 8(cos240° +…

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

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Q: 20) Write the complex number in rectangular form. 5(cos 195° + j sin 195 °)

A: Given: The given complex number is 5(cos195°+jsin195°). The objective is to find the rectangular…

Q: The argument in converting complex numbers in polar form is computed as __. a. Cosine of the ratio…

A: If z=a+ib,  and if argument of z be θ,

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

A: By using De Moivre's Theorem to find the indicated power of the complex number. To write the answer…

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

A: The given complex number,5cos 45°+i sin 45°3

Q: Write the standard form of the complex number.  7/6 (cos 5pi/6 + i sin 5pi/6)

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Q: Find all cube roots of the complex number. Leave answers in trigonometric form. - 125 i O A. 5 cis…

A: First, we convert it to the polar form

Q: Find the product of the complex numbers.Leave answers in polar form.

A: we have to find the complex numbers. z1=3cos5π8+isin5π8z2=10cos5π16+isinπ16

Q: Write the standard form of the complex number. (Round numerical values to four decimal places.)…

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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. Write answers in…

A: Using De Moivre's Thereom,

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: Find all the complex square roots of w= 9( cos 45° + i sin 45°). Write the roots in polar form with…

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

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

A: De moivre's theorem states that for any complex number z=rcosθ + i sinθ and any integer n…

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

A: Use Demoivres theorem to solve

Q: Determine the indicated roots of the given complex number. When it is possible, write the roots in…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the trigonometric form of the complex number shown below. 101 O 10(cos+ i sin л) 10 (008 4 + i…

A: To find the trigonometric form of given complex number.

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

A: According to demoivre theorm ,for any complex no r ( cos∅+i sin∅)ⁿ can be written as = rⁿ(cosn∅+ i…

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

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Q: Write the given complex number in polar form and in then in the form a + ib. You may use the De…

A: By Euler's formula we have eix=cos x+i sin x. Using eixn=einx we get the De Moivre's formula cos x+i…

Q: Use De Moivre's Theorem to find the complex number raised to a power. Leave your answer in CIS form.…

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Q: Write the complex number in trigonometric form. 3j 3j =(cos+jsin) (Use angle measures greater than…

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

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Q: Use a calculator to help write the complex number in standard form. Round the numbers in your…

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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…

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Q: Write the given complex number in polar form and in then in the form a + ib. You may use the De…

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Q: Express the given complex number in rectangular form. Express components in exact form. (No decimal…

A: Given query is to find rectangular form.

Q: Find the trigonometric form of the complex number shown below. √3+i 4 (cos + +15) +isin र √30 3…

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

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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: Write the complex number z= 6+3i in trigonometric form (sometimes called polar form). Express the…

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Q: cos 4 + i sin IT18

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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:…