Evaluate Log base (1-i) (1+(sqrt of 3)i) and express the final answer in polar form.

Q: (cos(30) + i sin(30))6 in exponential form

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Q: By writing the individual factors on the left in exponential form, performing the needed operations,…

A: Rectangular form to exponential form:  z=a+ib ------------------------------------------------------…

Q: Express the following in complex exponential form: Vx - jy Where x = 1.91 and y = 1.32. State the…

A: Solved below

Q: Express the following in complex exponential form: x[cos(y) + jsin(y°)] Where x = 10 and y = 144.…

A: I am solving this in step 2

Q: Evaluate: Ei°(3n + 7) = [ ? ]

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Q: Determine the equivalent when (8+8i) is raised to 1-i. Express your answer in a rectangular form in…

A: We have to find 8+8i1-i=?   The magnitude of 8+8i is = r=82+82=128=82 The argument of 8+8i is =…

Q: Determine the W, fourth root of 16 + 16i in exponential form. COMPLETE THE MISSING THE BLANKS FOR…

A: W1 denote the value of fourth root of 16+16i for k=1, that is the roots are denoted by w0, w1, w2,…

Q: 18. Simplify: i9 + j21 + j2050 in form a + bi.

A: Complex number a+ib form

Q: Solve the following  complex numbers in their rectangular form:…

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Q: Express 35i in simplest radical form.

A: Simplest Radical Form:When the radicand is not a fraction then radical is in simplest form . Given,…

Q: Express the following complex number in exponential form: (47.3 – 10.91)

A: Any complex number, z=x+yi can be represented in the exponential form as z=reiθ , where, r=x2+y2 and…

Q: Evaluate log 1, log(-1), log i and log(-i) in the complex number filed.

A: Complex logarithmic function is defined as  logz=logz+i·Argz where z is complex number and z is…

Q: Express 8 - 4i in exponential form reże, where is in radians to 3 decimal places, and in the range 0…

A: Introduction: Complex numbers are represented in polar form as the complex number's modulus r and…

Q: Express the following numbers in Cartesian form using either exact expressions or rounding to 2…

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Q: Visualize the addition of (3 + 6i) + ( – 7 – 8i) by plotting the initial point, and the result. 10+…

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Q: (cos(30) + i sin(30))5 in exponential form

A: Given expression is We know that  Therefore, Now, Thus,

Q: Simplify (3+5i37)(-2+i67) and convert it into exponential form.

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Q: Find the exact value of the expression. cos105°

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Q: M. Write sin 7x + sin 3x as a product.

A: Solve as a product form

Q: Find FOur Fousth Roots of -1+2i

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Q: Find the real component if the nth root of a + bi is determined for a = 10, b = 9, and n = 7. Round…

A: Given  a= 10 b=9  a+bi=10+9i n=7

Q: Find the real component if the nth root of a + bi is determined for a = 9, b = 5, and n= 4. Round…

A: The given problem is to find the real component of the complex expression with given unknown…

Q: he exact value of cos A in simplest radical form.

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Q: Simplify: i29 + i²1 + i2050 in form a + bi.

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Q: that is an ei -1

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Q: Find the principal value of tan−1(1+j).

A: We have to just use the formula for tan-1 z and simply the resulting expression.  The process is…

Q: 13. Use the exponential form of a complex number to write a + ib. (+)* +i in the form

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Q: Find the Polar, General Polar, Exponential and General Exponential Form of -5+9j.

A: Given, z=-5+9i where, rcosθ=-5        ......1rsinθ=9             ......2…

Q: (a) Simplify i*+1 in real and imaginary parts.

A: As there are two questions given ,i only do the first.

Q: e) Express 150° and 1° in radian.

A: Since you have asked multiple question, we will solve the one question for you. If you   want any…

Q: d. Find the 3 third roots of 1 and show their geometrical representation.

A: Let the cube root of 1 is "a"13=aCubing on both sides we geta3=1 or a3-1=0we know that…

Q: Find all distinct roots of z* +3-3i =0 and write them in the formx+iy.

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Q: 1. Solve and sketch the 4 answers to x - 16i TO

A: Given, x4=16i

Q: Let z be a non-zero complex number. Then Log(z?) = 2Logz

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Q: Find the six trigonometric functions of t =- 3

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Q: Find the period (in s) of a wave whose frequency is 5.0 kHz. (Write the result in scientific…

A: using formula T=(1 / f) T= time period f= frequency

Q: Find the amplitude of y = -4 cos(6x). O -6 O 6 -4 O 4

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Q: Find the principal 5th root of 50 (cos150° +i sin150°).

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Q: Determine the fourth roots of 16+16i in exponential form

A: The given complex number is 16+16i  comparing with z=a+bi a=16, b=16 r=162+162=2162=162 now…

Q: Use a calculator to approximate sec 4.   -1.5299

A: We have to find sec4.

Q: Evaluate 3 L, cos¹ (2+1) dr. -1

A: l have given the answer in the next step. Hope you understand that

Q: V3 i, Za

A: Exponential form : z =reiθ where r is modulus and θ is argument . if z = a + ib  then , r = a2+b2…

Q: ・X1 TE 91-8

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Q: Find / simplify each: i433 (3 + 7i) ÷ (5 – 3i) 4 + 8i ) •c2 - ) (2 – V100x*y7 * V54xy?

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: Use Euler's formula to write 52- 5i/2 in exponential form. 10e 4 10e 4

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Q: Use Euler's formula to write the expression e3+8i in the form a+ib. Round a and b to four decimal…

A: We have to solve given problem:

Q: Write the expression in rectangular form, x+yi, and in exponential form, re" 3x 3x cos +i sin 8

A: Consider             (6(cos(3π8+isin(3π8))4= (6)4ei43π8=1296 ei3π2 which is in  exponential form…

Q: Perform the indicated operations and express your final answer in exponential form: 2i* – 3i + 5i?…

A: The complex number, z=x+iy can be written in the exponential form as z=reiθ , where, r=x2+y2 and…