Q2/ Write the complex number 5(cos+i sin) in its rectangular form and then plot it in the complex plane.

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-2 - 7i

A: z=-2-7i Now, r=-22+-72=53 & θ=tan-1yx=tan-1-7-2=π+tan-172      ∵The given complex number lies in…

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Q: Write the complex number in polar form with argument 0 between 0 and 2x.

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Q: To subtract two complex numbers geometrically, first represent them as ________.

A: To subtract two complex numbers geometrically, first represent them as vectors u and v. Consider two…

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.15

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.

Q: Write the complex number -V3 + i in trigonometric (or polar form) with 0 < 0 < 2n.

A: Using z= r(cos theta +i sin theta)

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.1 - i

A: Given, To Evaluate, the complex number in trigonometric form with 0 ≤ θ &lt; 2π.1 - i Here  a=1 and…

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-7

A: We know that any given complex numberz=x+iy can be written in polar form as below z=rcosθ+isinθ…

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

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Q: plot the point in the complex plane corresponding to the number (square root 3)-i. also determine…

A: From given, real number is,

Q: Determine the absolute value of the complex number z = 3 + 4i

A: Given: z=3+4i

Q: iz = iz where z is a Complex number in a

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Q: Subtract the complex numbers. 5i -(-2i) 5i -(-21) =O

A: imaginary number   An imaginary number is a complex number that can be written as a real…

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-17

A: Let z=−17⇒z=−17+i0The complex form z=x+iy in trigonometric form is written asz=rcosθ+isinθ,…

Q: Find the product in the complex plane 1/4(cos Pi/6 +i sin pi/6) + 8 (cos pi/6 + i sin pi/6)

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Q: Write the complex number z= 5(cos+i sin) in its rectangular form and then plot it in the complex…

A: Given complex number, z=5cosπ3+i sinπ3 To find its rectangular form.

Q: Calculate these complex numbers and express your results in rectangular form: 60/45° (a) 7.5- j10…

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-4√3 + 4i

A: Given: -4√3 + 4i Here  x=-43, y=4r=x2+y2=-432+42r=163+16=64r=8                        ... taking…

Q: Plot the complexnumber then write the complex number in polar form express in degree 13-13i

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Q: What is the result of multiplication of complex numbers -V3+i and 끓 (cos +isin )? A 을 (cos +i sin )…

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Q: Write the standard form of the complex number. 5t + i sin Plot the complex number. Imaginary…

A: Please refer the attached image for complete solution.

Q: . Solve for the value of the complex number in rectangular form. (61)#) tan OA. -0.1349 + jo.2925…

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Q: Plot the complex number z = 2 + 5i and find its absolute value.

A: Given:z=2+5i

Q: Plot the complex number z = 4i and find its absolute value.

A: To plot the complex number z=4i and find its absolute value.

Q: Convert to complex form z3 = 8

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.2√3 + 2i

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Q: Write the complex number in rectangular form. 8 cos -+ i sin 2 8 cos ,+ i sin - (Simplify your…

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.4 + 5i

A: Given that, the complex number 4+i 5 Express the complex number in trigonometric form with 0 ≤ θ…

Q: Simplify the complex power and leave your answer in polar form. 3.

A: Given,-i30i=-0.0333333ii

Q: Plot the complex number z = 4 - i and find its absolute value.

A: In the Argand plane, the real axis is the x-axis and the imaginary axis is the y-axis. The absolute…

Q: Simplify the complex numbers and express your final answer in polar form z = r(cos0 + isin0):

A: Complex number in polar form…

Q: Plot the complex number z = 3i and find its absolute value.

A: Plot the complex number z = 3i and find its absolute value.

Q: Plot the complex number. 3 - V3i

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Q: Q 3) Calculate these complex numbers and express your results in rectangular form: 60/45° (a)…

A: in the complex number form, the given quantity can be written as 302+302j7.5-j10+j2   since the sine…

Q: Find the midpoint between the pair of complex numbers. (-8 - 7i) and (-10) O-4 8. 5i -9-3.5i 04+8.5i…

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Q: Calculate these complex numbers and express your results in rectangular form: 15/45 (a) + j2 3- j4…

A: To find: Calculate these complex numbers and express your results in rectangular form: 15∠45°3 - j4…

Q: What is the result of multiplication of complex numbers -V3 + i and (cos + i sin .)? 57

A: Given complex numbers are -3+i, 18cos5π3+isin5π3

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.12

A: 12+0i

Q: Plot the complex number. 6V2 - 6/2i

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-6i

A: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.z=-6i=0-6i

Q: Plot 9i in the complex plane

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Q: Subtract the two complex numbers: (2 – 3i) – (3 – 2i). What do you notice?

A: Two complex numbers can be subtracted by doing the subtraction of real and imaginary parts…

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.3 - 3√3i

A: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.3 - 3√3i = 3 (1 - √3i) Multiply…

Q: 7. Plot the complex number 3 - 6i

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Q: Plot the complex number z = -4 in the complex plane.

A: Given complex number is z = -4. The above number can be written as z = -4 + 0i.

Q: A. Change the complex numbers to polar form: 1. ( - 3) 4. -- V15 +i5 2. (- 8i) 5. J7-iv21 3. -- 4 –…

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-2 - 2i

A: Solution: Consider the given complex number is: z = -2 - 2i The trigonometric form of a complex…