In calculus, it can be shown that = cos 0 + i sin 6. In Exercises 87-90, use this result to plot each complex number. 87. e4 88. es 89. -ei 90. -2e-2mi

Q: What are the fourth roots of -3 + 3√//3i?

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Q: Interpret the notation that defines the reflection. Show your work and explain the steps you used to…

A: Given:- Cordinate of E (-8,5) Cordinate of F(-2,5) Cordinate of G(-3,-1) Cordinate of H(-7,-3)…

Q: Define the Complex Number by using example inside this arc: (7- 3i )

A: Consider the given example of the complex number. C=7-3i The general form of the complex number is…

Q: Prove the law of cosines starting from A^2 = (B-C)^2

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Q: Find the root's 51 of Complex equation:

A: Given:      5√(-1)

Q: find all complex Values satisfy ing the given equation ē = 2+1 (-1+i) .

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Q: For Exercises 41-42, find the indicated complex roots. Write the results in polar form using degree…

A: 41. Consider the square root of 25cos120°+isin120°. If z=rcosθ+isinθ is the given complex number in…

Q: 4. y" + y = e' sint

A: We have to find the complementary solution, particular solution and the general solution of the…

Q: Write cos (arcsin (4u)) as an algebraic expression of u, given u>0. Do not rationalize the…

A: Given expression is cosarcsin4u

Q: If -5/6i=30, what is the value of -2i-2?

A: See the solution below.

Q: Evaluate [sec^2 (-1-0.1i)][tan(12-36i)]. Express your answer in rectangular form in 4 decimal places

A: The given expression is sec2-1-0.1itan12-36i. We have to find the rectangular form.

Q: Simplify cos2(15)-sin2(15)

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Q: please solve with complex algebra 2. Find the velocity and acceleration of point C on the link 4 of…

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Q: Find two square roots for the following complex number. Leave your answers in trigonometric form. 81…

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Q: 26. Use a calculator to help write the complex number in standard form. Round the numbers in your…

A: Solution: The objective is to write the given complex number in standard form

Q: The imaginary unit i is a number such that: i'=10 '- - P=-10

A: since we know that i2=-1 so i=-1

Q: Give expressions to represent all exact solutions to the equation in radians: sin: (x)-V3sin(x)=0

A: The given equation is sin2x-3sinx=0. Solve the above equation as follows.

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: Give expressions to represent all exact solutions to the equation in radians: 2 sin (x) – V2 sin(z)…

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Q: Explain why the equation cos2 x = has a solution in all four quadrants. List all of those solutions.

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Q: Use DeMoivre’s theorem to find (–√3/2 +i/2)12. Express your answer in complex form.

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Q: Write an equation using sine that describes the graph on the left. 5- (7/4, 3) (1/2, 1) (7.1) Submit…

A: Let us choose a portion of the graph.  The general equation of a sine curve is y=asinbx+c+d Here,…

Q: Analyze and graph the equation:

A: To analyze and graph the equation r=63+3sinθ. Explanation: Rewrite the equation in standard form.…

Q: For Exercises 73–104, verify that the equation is an identity.

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Q: Write complex number in standard form Z=3(cos240+i sin240)

A: To write given complex number in standard form, substitute the value of  and:

Q: How do I find the positive and negative co-terminal between 0 and 2π? If the given value is on the…

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Q: Find the sine of ZU. 17 15 U 8 Write your answer as an integer or as a de sin (U) = %3D

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Q: Find sin a. (-/5 ,2) [ ?] 1

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Q: tan( (60° – 30°)

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Q: Stuck on finding the angles for:   sinx=- square root of 3, /2

A: Given information:The given equation is

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: Write all four equations (+ sin, - sin, + cos, - cos) of this sinusoid. 0.5 30 60 90 120

A: We have to find all four equations (+ sin, - sin, +cos, - cos ) of this sinusoid.

Q: 3sino – 4sin³0 = sin(30)

A: we have to prove the formula.

Q: Explain the formula of Cofactor.

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Q: Plot the complex number. -4 - 3/6i

A: compare this complex number with  so here we have so our point is

Q: 6=5 cos0+6cos0 COS

A: Given: 6cos2θ+5cosθ=6 For doing factorization of given expression, we do transportation and then use…

Q: Write an equation involving cosine that has x = 3' as solutions. %3D

A: To find the equation involving cosine that has x=π3,5π3as solutions

Q: 59. sin s= sece1 2sece 2.

A: Given that: sin2θ2=secθ-12secθ

Q: Civen Simua, 0cue find comsãeer cos 2u

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Q: 5. Write sin 33° in terms of cosine.

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Q: the complex number z = 18 + 18j in trigonometric form Group of answer choices   19.7(cos23.96°+ ?…

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Q: give 2 examples of questions and answers for each material namely a. basic functions of complex…

A: Hi there! You seem to have uploaded many sub-parts. As per our norm we will be answering only first…

Q: write down a trigonometric substitution which will make 4-x^2 into a perfect square.

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

A: We will convert the given number into standard  form of complex number as following-

Q: Divide. Leave your answer in trigonometric form.   20(cos 80° + i sin 80°) 5(cos 50° + i sin 50°)

A: To divide, 20(cos 80° + i sin 80°) with 5(cos 50° + i sin 50°) That is to find,  [20(cos 80° + i sin…

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

A: Given 10cis5.8

Q: Is O can be represented as a complex number? Select the correct response: True False

A: Is 0 can be represented as complex number .