Problem 1: Evaluate the complex number aresin(0.4" ) in(0.4"). Problem 2: Evaluate the complex number sin(0.346 – 0.548i).

Q: QUESTION 1 Match the complex number expressions on the left with the correct simplified version in…

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Q: Solve the following complex number problems: a. Simplify: i5 + 3i35 + 2i23 – 2i12 (5+31) (3-41) b.…

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Q: Question 3: Find the value of the following complex numbers using Euler formula? 1) [5 +i (5)0.5j…

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Q: Convert to complex number, cot(-3+j)

A: The results used in the solution are written below:

Q: Find the magnitude of the resulting complex number, 6 (cos 120°+i sin 120°) x 4(cos 30° +i sin 30°)

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Q: tan¬1(z3) O 1.6293 - 0.3856i O 1.7644 - 0.6938i O 1.3390 + 0.4024i O 1.2969 + 0.5153i

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Q: tan(; 2 - 2j)

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Q: 8(cos 90° + i sin 90°) Find three cube roots for the following complex number. Leave your answers…

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Q: From the topic of Trigonometric of Complex Numbers. Convert to complex number, sec(e2j)

A: we know that cosθ= ejθ+e-jθ2and cosθ=1secθso secθ=   2 ejθ+e-jθ

Q: Solve the following  inverse trigonometric and hyperbolic complex numbers in their rectangular form.…

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Q: 1. Solve the following complex number problems: a. Simplify: i55 + 3i35 + 2i23 – 2i1² (5+31)(3–41)…

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Q: In Problem,write complex number in rectangular form.

A: In the rectangular form, a complex number can be represented as a point on a two dimensional plane…

Q: Question 8 Use DeMoivre's Theorem to find the indicated power of the complex number. Write the…

A: solution:-Appying De Moivre's Theoremrcosθ+isinθn=rncosnθ+isinnθ

Q: From the topic of Trigonometric of Complex Numbers. Find the values of the following. Evaluate…

A: The inverse of the complex number is the unknown angle.  Let θ=sin−1zsin−1z=θz=sin θGiven , z=1+2jy…

Q: QUESTION 10 Find the two square roots of the following complex number: (-5 + 12) O (3 + 2i) & (- 3 -…

A: To find the square roots of the given complex numbers. -5+12i The square root of a complex number…

Q: 1+i Problem 2: Given with 2 = examine the effect of a). z is multiplied by -1, and b). z is…

A: Given complex number is  z = 1 + i ,  we find value of a) -z = ?  b) iz = ?

Q: Problem 1: Evaluate the complex number arcsin 0.4

A: We will evaluate the given complex number as shown below

Q: The problem refers to right triangle ABC with C=90degrees. Use a calculator to find sin A, sin B,…

A: Given that ∆ABC is a right angle triangle right angle at C c= 9.63   , b = 8.87i.e AC=9.63 , BC =…

Q: 4. sec(2 + 3i) 5. csc(2 + 2i) 6. cot(5 – 5i)

A: sec2+3i=1cos2+3i                   =1cos2cos3i-sin2sin3i                   =1cos2cosh3-isin2sinh3…

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [1/2 (cos π/14 + i sin…

A: 12cosπ14+isinπ147 De Moivre’s Theorem states that, if rcosθ+isinθ is a complex number then…

Q: Evaluate and simplify in trigonometric form. tan-1(A)B“;A = 8.252 75° ; B = 4e]1.65 ; C = 2.375 cjs…

A: Given that, A=8.25∠75°B=4ej1.65C=2.375cjs60°We need to evaluate and simplify the term tan-1ABC in…

Q: determine the indicated roots of the given complex number.   (2(cos π/3 + i sin π/3))1/2

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Q: Obtain the complex number cos (1 + i).

A: See the detailed solution below.

Q: QUESTION 14 Match the complex number expressions on the left with the correct simplified version in…

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Q: Problem 1 47 4 Plot the point (cos - ). sin on the unit circle. 3 3

A: cos4π3=cosπ+π3=-cosπ3=-32sin4π3=-sinπ3=-12 Now, we will plot -32,-12=-0.866,-0.5

Q: Convert the complex number to trigonometric form: r (cos 0 + i sin 0). Round your answer to 3…

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Q: Problem 2. Let a, be C be two complex numbers with the property: Rea <0 and Reb<0. Show that e - e|…

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Q: Write the complex number 6(cos 30° + i sin 30°) in rectangular form. If necessary, round to the…

A: Given:  6cos30°+isin30°sin30°=12cos30°=32

Q: |74. Notice that (r cis 0)² = (r cis 0)(r cis 0) = ² cis(0 + 0) = 2 cis 20. State in your own words…

A: Given that: (rcisθ)2=(rcisθ)(rcisθ)=r2cis(θ+θ)=r2cis2θ

Q: Problem 37: Convert the following complex numbers from rectangular form to polar form: a. 4+ j3 b.…

A: To convert the given complex number from rectangular to polar form.

Q: Problem 37: Convert the following complex numbers from rectangular form to polar form: a. 4+ j3 b.…

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Q: Z1 = 2 + 4i

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Q: From the topic of Trigonometric of Complex Numbers. Evaluate tan-1(1+j).

A: Given  To evaluate tan-11+j

Q: Question 3: Find the value of the following complex numbers using Euler fo 1) [5 - i (5)0.5? 2) –05…

A: As per our guidlines we are supposed to answer only first three subparts. kindly repost other parts…

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: Problem 3: Consider the complex number z = -V3 – i. (a) Write 23 in exponential form. (b) Write 26…

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Q: 1. Solve the following complex number problems: a. Simplify: i55 + 3i35 + 2i23 – 2i12 (5+3i)(3–41) -…

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Q: Evaluate and simplify in polar form. sin (3ej1.4325 + 4 cjs25°(-5 +j6)

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Q: Question 3 Find all solutions of the following equations. (a) 5 cos(2r +3) = sin(2r + 3)

A: Explanation of the answer is as follows

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number [1/2 (cos π/12 + i sin…

A: Given, 12(cosπ12+isinπ12)6 We know that, The DeMoivre's theorem, rcosθ+isinθn=rncosnθ+isinnθ

Q: Problem 8. If a, b, c and u, v, w are complex numbers representing vertices of two triangles s.t.c =…

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Q: Find the magnitude of the resulting complex number, 6 (cos 120° +i sin 120°) x 4 (cos 30° + i sin…

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Q: Question 4 > Find the magnitude of the complex number z = 7+ li |z| =

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Q: Problem 1. (a) If z, and z, are two complex numbers, show that (b) Jf O in (a) show that

A: First question is not correct. We shall give an counter example to satisfy our claim.

Q: From the topic of Trigonometric of Complex Numbers. Find the values of the following. Evaluate…

A: The inverse value of the cotangent of the complex number is given by the formula, cot-1z=12jlnz+jz-j…

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

A: The complex number in the form a+ib , where  is real part and b is imginary part.

Q: Question 3: Find the value of the following complex numbers using Euler formula? 1) [5 +i (5)0.5 0.5…

A: Given that: 1. [5+i(5)0.5]0.5 NOTE: As per our answering guidelines, we can only answer 1 question…

Q: Question 9 What is the exponential form of the complex number 4 + 3i A) 5 e 153,130 B) 5 e 136,870…

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