Considerz -10 + 4i. Write down the real and imaginary parts of z. What are 2, zand? Express z in polar form, i.e., as z = re. What are r and 0? Draw z in the complex (Argand) plane

Q: 4V6(cos- 11 m +i sin 12 Võ(cos +i sin ) 11 m O Option 2 O Option 4 10 m 2V3(cos+ i sin ) V6(cos+i…

A:

Q: 4. Evaluate and convert into polar form. √√2+ = = = 3 2i -√8-2²/1 3

A:

Q: Write polar form of z= – 2-i 5(cos2.68 – i sin2.68) 5 (cos2.68 – i sin2.68) 3 V5 (cos2.68 – i…

A:

Q: Convert -3-6into Polar form, r (cos(0) ti sin (@); (cos(e) t isin (6))

A: We have to convert the given number into polar form.

Q: Vz + i/3 V3 - 10i 5. 6. -V8 – 21/3 -V3 + 5i

A: The given problem is to evaluate and simplify the given complex expression and graph the following…

Q: 7) a) Convert 3+ j to polar form. b) Use the result from part (a) to evaluate (v3+j)ª. You can leave…

A:

Q: 6. (3+ 2j)/(4 – 7j) 7. Convert -5 – 7j to polar form.

A: 6. Given(3+2j)/(4-7j) Rewrite the above equation as: (3+2j) (4-7j)× (4+7j) (4+7j) =(3+2j)(4+7j)…

Q: Convert the given polar coordinates to Cartesian coordinates. (-5, Sm) (x, V) - (| 6.

A: We know that when polar coordinate change into Cartesian coordinate x= r cos theta , y= r sin theta

Q: I would appraite it if you could explain

A: Step 1: Step 2: Step 3: Step 4:

Q: Write polar form of z=-2-i V5 (cos2.68 + i sin2.68) 5(cos2.68 – i sin2.68) V5(cos2.68 – i sin2.68) 5…

A: We are given the complex number : z=-2-i=x+iy⇒r=-22+(-1)2=5tan θ=-1-2=12Now, x=r cos θ<0and y=r…

Q: Let = 5√2-5√/2i 8 Write z in polar form. Then find z24 and write it in the form x + yi. Draw the…

A: Polar form of any complex number z=x+iy z=r cosθ+i sinθ Where r=x2+y2   and    θ=tan-1yx

Q: sketch z2 = z1* on the axis given z 1 = -1.7+j1 complex number 21 shown below: 3 Imaginary -2 -1 0…

A: Given thatWe have to sketchWe know that

Q: z^3= −8i.

A:

Q: (4/3,4) to polar coordinates. Convert the Cartesian coordinates O (4, 30) (V42, 150) (8, 30)

A:

Q: -2-j3 3+j4 (final answer should be in polar form)

A: We need to evaluate complex number,  -2 - j33 + j4 First we need to multiply and divide by complex…

Q: ow áll the steps) . Write the complex number 2+ iv3 in the form of reit Check the following function…

A:

Q: 7.1 + 늘mi -4 + 19i 8. 2 + 5i

A: The given problem is to represent the given complex expression in to polar form and also sketch the…

Q: 3. 2i, -2i 4. -5 Vz + i/3 5. V8 – 2i/3 V3 – 10i -V3 + 5i 6. -

A:

Q: Express the complex no v3 + i in polar form. Also show it by Argand diagram

A: Given that z=3+i convert the given complex number into polar form  also draw the Armand diagram

Q: Evaluate (-1 + i)¹/3. Express all of the roots in polar form and plot them on an Argand Plane.

A: Given (-1+i)1/3