Use the figure to evaluate a+ b, a -b, and - a. a +b = b=

Q: (b) Show that i10 is real, even though i or 10i is not.

A:

Q: Reduce the quality 5i to (1-i)(2-i)(3-i) real number.

A: Now we reduce the quality  5i(1-i)(2-i)(3-i) to real number.   5i(1-i)(2-i)(3-i)…

Q: Evaluate the inditi- 0scten Ctan 2x- sec 20

A:

Q: Prove the law of cosines starting from A^2 = (B-C)^2

A:

Q: What is the ordered pair that represents AB +AC ?

A:

Q: Evaluate the following (Express all answers in Rectangular form);

A:

Q: Express in the form , where a and b are a+bi real numbers.

A: 19--4

Q: Use De Moivre's Theorem to evaluate [-6+ 2i]6

A: Any complex number z=x+iy can be represented as  z=r(cos θ+isin θ) , where r=x2+y2, θ=tan-1 yx.  De…

Q: (b) Show that i0 is real, even though i or 6i is not.

A:

Q: Find the indicated power using De Moivre's Theorem. Leave the answer in a + bị. 6.

A:

Q: 5. e-1+4i 5. cosh(2e3')

A:

Q: Rewrite the equation in Ax + By = C form. %3D Use integers for A, B, and C. 1 y=- 2

A: We can rewrite the given equation as below

Q: In the figure, the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms…

A: Let us denote the tip of vector c and tail of vector d by S In the triangle PSR using vector sum we…

Q: e. 2' + In(2 + i)

A:

Q: 4 с. (2 — і)*

A:

Q: A. A'n (BUC') = { (Use a comma to separate answers as neede

A:

Q: Find =. Leave the answer in the form a + bi.

A: Formula : here

Q: ase help me solve with work shown

A:

Q: (1+2i)² (3–5i)-i? + (3+17i) Evaluate, 5.

A:

Q: Prove the identity by manipulating both sides. csc^2xsecx=secx+cscxcotx

A: Given,

Q: Use one of the formulas in the equation A xdy f-ydx fxdy- ydx to calculate the area of the triangle…

A: Here we find the area of triangle.

Q: a+bi 26 19) Expressed in form, 2-3i is equivalent to

A:

Q: A6 - B= | verify that AB not equal BA?

A: first we will find AB by rule of product of matrix then we will find BA then compare both matrix

Q: Derive then prove the Explicit formula for triangular numbers Solution:

A:

Q: verify the identity  (5sintheta + 5costheta)sqaured =25+25sin2theta please show steps

A:

Q: Evaluate (-i/2)ei(π/3)

A: Let given complex number is z=(-i/2)e^i(π/3)

Q: State and prove a theorem suggested by the figure. С 23. 24. B F

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

Q: Establish the identity

A: Establish the identity     1-2sin2C=2cos2C-1

Q: Construct QJ so that QJ = TR - PS.

A: From the given data:

Q: ☺ Inpolar form, evaluate; 2(3+4i). 3(-344i)

A: .

Q: A number of the form iy is called pure imaginary ylgn O İhi

A: A number of the form iy is called pure imaginary

Q: If 2-a-5i/(1-bi) = 3 - 5i, find a and b

A:

Q: Find ficr) given that Fex)= ax?-bx+s (assume that a, b, c are real numbers)

A: Given: fx=a x2-bx+cx3, where a,b,c are real numbers. To determine: f'(x)

Q: Write a formula for the indi

A:

Q: Find the three roots of (-6 + 4i)'/3 Enter these in order of increasing angle, going from ) = ()…

A: Firstly find the tangent of angle using the below formula. If z=a+ib the acute angle θis…

Q: show thet ® Coule+ AX, {) - A Cou(8iY)

A:

Q: The formula in cell B1 is A$2. Autofill is used by dragging B1's autofill box across to C1,D1, and…

A: According to the formula, =A$2, row dimension 2 has been fixed and column dimension is floating.

Q: Find the quotient zi lza in standard form. 2= 3-3i, 22=1-i

A:

Q: ;5i (b) Show that ¿" is real, even though i or 5i is not.

A: We have i5i Now, we can write ab=elnab Also, lnab=blna , therefore: ab=elnab=eb lna So, using ab=eb…

Q: Use Demoivre's Theorem to find the fallowing- answer in Standard form. your 2 eis 20 Write

A: Given (√2 cis(9π/20))5 Using demoivre's theorem we can write Zn=rn cisntheta  =(√2)5 (cis5(9π/20))…

Q: A number of the form iy is called pure imaginary ylgn O İhi O

A: given a complex number

Q: 3. In(-1 – i) 4. In(4i)

A: The given problem is to evaluate and simplify the given complex expressions and express in the form…

Q: Express ? in each figure in terms of x

A:

Q: (b) Show that ii is real, even though i or 5i is not.

A:

Q: Simplify the expression (4 – 4i)(3i – 4) + |5 – i| to the form a + yi where a and y are real…

A:

Q: Consider the following definitions of imaginary numbers: x=4−2i y=6+7i z=5i Then, x+y−2z=?

A: We plug the given values in the expression x+y-2z

Q: find w., of ((1+ 2i) + (3 – 4i)) 7

A: Given that, 1+2i+3-4i12