2 What is the angle formed by the vectors 1 syntax like 3*pi/4.) and ? (Express the answer in radians, as a number in [0, π]. Use

Q: Simplify the complex number (Z^3) * ?and find the Re(z) & Im(z)

A: From De Moivre's Theorem we have,  Let z=rcosθ +isinθis a complex number in polar form. If n is a…

Q: Find the component form of v given a magni- tude of 3 and v in the direction of 3 î+ 4ĵ. 1. (9, 12)…

A: Multiply magnitude and unit vector for components

Q: 10 2) z = (-j)()

A: We have to use De Moivre's theorem cosθ+jsinθn=cosnθ+jsinnθ and Eular form of complex number…

Q: find the indicated power using De Moivre's Theorem:  1.) ((square root of 3)-i)6 2.)(1-i)10…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question…

Q: specify the measure of the angle in degrees using the correct algebraic sign (+ or -)   2/5…

A:

Q: Suppose you leave home and hike 10 miles due north, then 8 miles in the direction 40 degrees east of…

A: Consider the given: From the given information draw the figure:

Q: Multiply and Simplify 7i (2 + 5i) - 2i(3+4i) O a) 8i + 27i² O b) 20i + 43i² O c) 20i - 43 O d) -27 +…

A:

Q: 15) A large flagpole stands at the top of the Office Building. From the street at a point 100 feet…

A:

Q: present given complex number in polar form also find its (1+21) ¹2 (-2-√5i)"

A:

Q: Simplify the complex number a = that a= a + bi. 10 (1+1) ". That is, find values for a, b = R such

A:

Q: 4/2 cis(-30°) 2/2 cis(-60°)

A:

Q: find quotient 1/z for given complex number z=-sqrt 3 + i

A: The given complex number is z=-3+i. The conjugate of the given complex number is as follows. z=-3-i

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one third of the…

A:

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

A:

Q: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

A:

Q: Evaluate these complex numbers: (a) _2 – j] (b) 6 30° + j5 –- 3 + e45°

A: To find- Evaluate these complex numbers:  j31 + j2 - j2 6∠30° + j5 - 3 + ej45°

Q: 7 4. Explain why there is no angle in the second quadrant that has csc A = 5

A:

Q: 60 6-V-8 5. 6. 4 + V-25 -2

A: We have to simplify the complex numbers. 4. i460 5. 6--8-2 6. 4+-25

Q: What are 3 angles (at least one negative) that are co-terminal to 175 degrees?

A: Coterminal angles are those angles having same initial and terminal side. In order to find the…

Q: Convert to rectangular 2Z– 150° - O -V3- i O -1+iv3 O -V3+ i O -1-i3

A: Given polar form is 2 ∠ -150° So here r = 2 θ = -150°

Q: Express the number (20CBA)16 + (ABC DE)16 + (BAAA)16 in bases 8, 10 and 16.

A: This is a problem of counting and finite math.

Q: Bo Im liz) - Re (2) A. -2-2i B. 2+ i C. il1-13 i)5 +i)

A:

Q: Show with an Argand diagram that the law for adding complex numbers is the same as the parallelogram…

A: