if Z. S3+bi is a complex nember with the magnitude of the amplitude II T, find 2 OR using a dimoper and find b.

Q: Question in image.

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Q: - . Write cos(i – 4) in the form of a + bi.

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Q: Find the Cartesian equation of r2 sin(20) = 1.

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Q: Find the quotient of z1 & z2, leave answer in trigonometric form: z1 = 2 – 3i & z2 = 1 – V3i

A: Introduction: Division is also performed between two complex numbers. But in order to convert the…

Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

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Q: Find all degree solutions for the following. V2 2 sin 20

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Q: Consider the equation below. 7 r = 6 + 6 cos(0)

A: Given equation is r=76+6cosθ

Q: Find the sine of ZY. 26 24 10 Simplify your answer and write it as a proper fraction, improper…

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Q: Find a rectangular form of the equation. 3. 1 + cos 0

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Q: Given z = 4(cos 35° + i sin 35°), find zº. Write your answer in rectangular form.

A: Given: z=4(cos 35°+i sin 35°)  To find: z6

Q: Find cos A when sing 12 and A is in the second quadrant. %3D 5/13 -5/12 -5/13

A: We have, sinθ = 1213,  θ is in the second quadrant To evaluate: The value of cosθ.

Q: Find the cosine of ZK. K 6/23 J 12/23 6/69 Write your answer in simplified, rationalized form, Do…

A: Given: For the angle K Perpendicular = 669 Base = 623 Hypotenuse = 1223

Q: Graph the cardioid r = a(1+ sin®), a< 0?

A: We are given that r=a(1+sin∅), a&lt;0 Here as we know that sin∅ is always greater than equal to -1.…

Q: The quotient of z1 =6 cis (2/3); z2 =2 cis (1/6) in trigonometric form is;

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Q: Given that z = 4 ( cos· 4 +i sin) and w = 1 – iv3. Find 4. %3D a) 2 w b) E c) arg (-), in radians as…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Given d = and i = , find 3d – 6i. 3d – bi =

A: To find  3d-6u

Q: The imaginary part of G(jo) is equal to zero if find: w Hence, sin 0.80 + w cos 0.8@ = 0

A: Complex number Z=X+iY X=real part of complex number  Y=imaginary part of complex number

Q: Graph the equation r = sin (8/ 7 u) for 0&lt;=u&lt;= 14pai.

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Q: In AXYZ, the measure of ZZ=90°, the measure of ZX-20°, and XY = 73 feet. Find the length of ZX to…

A: Use the trigonometric ratio as it is right triangle.

Q: Graph the equation r = sin (8/7θ) for 0 ≤ θ ≤ 14π.

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Q: In calculus, it can be shown that eiθ = cos θ + i sin θ. Use this result to plot the complex number…

A: Given: Complex number eπi/4

Q: cos( 150 ) Report below the exact answer. Your attached work must show at least one use of a trig…

A: Use formula  cos(A-B)=cosAcosB+sinAsinB

Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: E. Find the cartesian equation of the following: 2. r2 cos(20) = 4 %3D

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Q: Solve the following trigonometric equation for 0 ≤ 0 < 2π. Show your work. 4 cos²x 3 =

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Q: Given that the characteristic equation has the following complementary solution, what are its roots?…

A: To find The roots of the given complementary solution.

Q: Solve the following differentral equation =2メと 11

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Q: d. Use the compound angle formulae to expand x, and x2 into the form A sin 100nt + B cos 100nt,…

A: Given,     x1=3.75 sin 100πt+2π9     x2=4.42 sin 100πt-2π5

Q: Find the co perpendicular to the li

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Q: Evaluate r, SSinº r² cos edzdrd0. -T/2

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Q: Solve the following problems. (See Lesson 4.3 Second-Order Homogeneous DE with Constant Coefficients…

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Q: = 0. AW yy - If w = (y – 2x)³ - Vy – 2x, show that wxx | %3D

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: If cos A= 1/2 with A in Q1V, find the following  secA/2

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Q: 4. Suppose that cos(A) = m , and A is in quadrant I. Then determine sin in terms of m. sin

A: Using half angle formula of trigonometry.

Q: Show that the form of the Law of Cosines written 2 = a + b - 2ab cos y reduces to the Pythagorean…

A: c2=a2+b2-2ab cosγ

Q: (5.) Solve 2+y z³ cos z dz 3 -2+j

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Q: The roots of equation (Tij- 16i¡ )=0 are called principal value ylgn O İhi O

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the following equations on the complex functions: 1)cosz=sinh7

A: Since you have asked multiple questions, we will solve first question for you. If you want other…

Q: 3. In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D, such…

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Q: Given that the characteristic equation has the following complementary solution, what are its roots?…

A: We will find out the required roots of given complementary solution.

Q: Find the general solution: y" + 5y' + 6y = 4et cos2t + sin2t

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Q: Write cos(i – 4) in the form of a + bi.

A: Use the trigonometry formula for cos(A-B)

Q: cos ax 1+x4 dx, (a > 0).

A: Consider the integral ∫-∞∞eiaxx4+1dx=∫-∞∞cosax+isinaxx4+1dx Converting into complex world,…

Q: 4. 16 30 What is the Cosine R? What is the Cosine S?

A: Assume the followings. ST=a=16RT=b=30SR=c=unknown∠S=x∠R=y

Q: If –4cos 0 + 3 = 3, where 0 <0 < 2n, what are the values of 0? List your answers as exact answers in…

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Q: 2. 16 4F6 Sin O how far is the directrix from the pole poce

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