(1+i)·(10260°) (3–7i)+(9/120°) . Express your answer in rectangular form.

Q: Calculate √−3+3i . How do I give my answer in a + bi form? Give the solution with smallest positive…

A: Given: z=-3+3i To Find: Write z in the form of a+ib.

Q: Solve the multiple-angle equation tan 3x − 1 = 0

A: Our Aim is to solve the multiple-angle equation tan 3x − 1 = 0  -(i)

Q: (J6.-i0) Determine the values of sine and cosine of the angle.

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Q: Compute 11pi/2  the answer should be in radians

A: Given that 11pi/2 . We need to compute the value of 11pi/2 in radians.

Q: Write the complex number 0.6(cos 100° + i sin 100°)in rectangular form. If necessary, round to the…

A: The given complex number is 0.6cos100°+isin100°.

Q: Write the (x,y) coordinates for P in terms of cosine and sine.

A: The objective is to write the (x,y) coordinates for P in terms of cosine and sine.

Q: Write the equation with rectangular coordinates. 2 = 4 cos 20

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Q: Write the trigonometric form of the complex number. (Round your angles to two decimal places. Let 0…

A: Given: z = 77-i^  Comparing the given complex number with z=x+i^y, we get,  x = 77 , y = - 1. The…

Q: Find x and y so that each of the following equations is true.    4 + 7i = 6x - 14yi

A: given: 4+7i=6x-14yi as we know that the two complex numbers are equal if the real part of one…

Q: 1. (a) Find the roots of the equation 23 + 2 – 2/3i = 0.

A: Here we have to find the roots of z3+2-23i=0. For that consider z3+2-23i=0⇒z3=-2+23i. Finding the…

Q: Find the sine of ZW. 60 32 68 Simplify your answer and write it as a proper fraction, improper…

A: Using trigonometry ratios  sinθ=PH Where P is perpendicular ,H is hypotenuse and θ is angle in right…

Q: Calculate -1- 3i. Give your answer in a + bi form. Give the solution with smallest positive angle.

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Q: Write the complex number 4(cos 5π/6 + i sin 5π/6) in rectangular form. If necessary, round to the…

A: 4cos5π6+i·sin5π6

Q: Calculate V4 – 2i. Give your answer in a + bi form. Give the solution with smallest positive angle.

A: Given: 4-2i for finding given value, we assume 4-2i is equal to a+ib then square both side and solve…

Q: Simplify, using the double-angle formulas: 1- 2 sin2(15°)

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Q: 3¢i – 40i-1 + Pi-2 дх 2Ax

A: In this question, we use the Taylor series expansions to derive the three-point scheme for the first…

Q: Write the complex mumber in rectangular form. 5(cos 2104 i siu 210°)

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Q: Write complex number 10(cos 210° + i sin 210°) in rectangular form. If necessary, round to the…

A: It is given that 10(cos 210° + i sin 210°)   It is known that cos210°=-32sin210°=-12

Q: Find the complex cube roots of 27 (cos 306° + ? sin 306°)

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Q: Write the standard form of the complex number. (Round numerical values to four decimal places. 2n +…

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Q: 413-4i

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Q: Write the complex number 30(cos 2.3 + i sin 2.3) in rectangular form. If necessary, round to the…

A: the given complex number is 30cos 2.3 +isin 2.3. we have to write the complex number in rectangular…

Q: Convert to rectangular form. 2 = 1/(9 + cos? ®)

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Q: In calculus, it can be shown that eiθ = cos θ + i sin θ. Use this result to plot the complex number…

A: Given:eiθ=cosθ +i sinθWe have to plot the graph of the complex number-e-πi

Q: Write the standard form of the complex number. i sin 2 Cos + 2

A: Standard form of a complex number is a+bi, where 'a' is real part and 'b' is imaginary part.

Q: Find [2(cos 30° + i sin 30°)]5. Write the answer in rectangular form.

A: Trigonometry:  We need to find the value of the following    [2(cos 30°+isin 30°)]5

Q: write the standard form of the complex number. round numerical values to four decimal places. 2(cos…

A: Given complex number is, 2(cos(6π11)+isin(6π11)) The standard form of the complex number is a±ib,…

Q: Write the complex number 20(cos 205° + i sin 205°) in rectangular form. If necessary, round to the…

A: Our Aim is to write the complex number 20[cos(205°)  + i sin(205° )] -(i)in rectangular form.

Q: Convert the Complex number 10V3- 10i to trigonometric form: r(cos(0) + i- sin(0)).

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Q: Divide: 4-3i/8+i. Express your answer as a complex number in simplest form.

A: 4-3i8+i=4-3i8+ix8-i8-i=32-4i-24i+i282-i2=32-28i-164-(-1)

Q: Multiply (3 cis 70°)(2 cis 110°) and express the answer in rectangular form. Give an exact answer.

A: Consider the given expression and multiply it by converting to exponential form,

Q: 1. iz? + 18i = 40

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Q: If a = -4 and b 5i, then find the value of a b in fully simplified form. %3D

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Q: Calculate (1-3i)(3+i) in a+ib form. Then write the result in scale and amplitude form

A: The solution is given below in the next step:

Q: Caluculate the square root of (2+4i). Give your answer in form a+bi. Give the solution with smallest…

A: We have to find square root of complex number(z).z is given below:

Q: Express the result in trigonometry and rectangular form (1 + 2i)4 44. (1 – 2i)?

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Q: Multiply (6 cis 300°)(2 cis 30°) and express the answer in rectangular form. Give an exact answer.

A: According to the given information it is required to solve the expression and express the answer in…

Q: Find x and y so that the following equation is true. 4 + 8i = 6x - 24yi X = y =

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Q: Find the argument (angle θ) in radians for the given complex number z = 9.8 + (1.3)i.

A: Given  z = 9.8 + (1.3)i.

Q: - 2+2i 8-8i/3 4

A: Given, -2+2i8-8i34

Q: Write the complex number 7(cos 3π/2 + i sin 3π/2) in rectangular form. If necessary, round to the…

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Q: Find the quotient and write the result in standard complex form: 4. (cos 250° + i sin 250°) 7. (cos…

A: