Find zw and Write each answer in polar form and in exponential form. Z= 2| cos +i sin 3 w = 2 cos + i sin

Q: Evaluate and write your answer in a + bi form. [3(cos 92° + i sin 92°)]° : Round to two decimal…

A: We will solve the problem

Q: Find zw and z/w. Write each answer in exponential and polar form. z = 6 ( cos pi/10 + i sin pi/10 )…

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

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Q: 3i (4 5i) (6 cos 25° + 6i sin 25°) CoS

A: Here we can use the following formula for representing polar form of a complex number…

Q: determine ω0, R, and δ so as to write the given expression in the form u = R cos (ω0t − δ). 2.u = −2…

A: Given :  2u=-2cosπt-3sinπt To rewrite the given equation in the form of u=Rcosω0t-δ and determine…

Q: Write z = 4 (cos pi/3 -i sin pi/3) in the form z = re ^ (i theta)

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

A: we have z = 12cos4π3+ isin4π3    Now 4π3= π+π3 hence z = 12cosπ+π3+ isinπ+π3               =…

Q: Find zw and W Write each answer in polar form and in exponential for - Z=7| cos + i sin 4 4 兀 W =7|…

A: use product of complex numbers in polar form zw=r1r2[cos(θ1+θ2)+ isin(θ1+θ2)]   use product of…

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 carlesian equation of the following. the 3-Sine 2. r °cas (20)= 4 r CO

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Q: Find zw and Write each answer in polar form and in exponential form. W |- 27 Z = 2 cos -+i sin 6. w…

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Q: Find zw and . Write each answer in polar form and in exponential form. 2т z = COs 3 +i sin 27 and 57…

A: Given:z=cos2π3+isin2π3w=cos5π9+i sin5π9zw=?zw=?

Q: Fill in the remaining values of ( cos 0, sin 0) for the points in Figure 21.

A: Consider the given figure: Substitute θ=π2,cosπ2,sinπ2=0,1Substitute…

Q: Find the product of z1 & Z2, leave answer in trigonometric form: 235 (cos플 + isin) & z2 =: +i sin 3…

A: We know that for  z1 = r1 cos θ1 + i sin θ1  and  z2 = r2 cos θ2 + i sin θ2 z1·z2 = r1·r2 cosθ1+θ2 +…

Q: Evaluate and write your answer in a + bi form. [3(cos 92° + i sin 92°)]% = Round to two decimal…

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Q: Evaluate and write your answer in a + bi form. [3(cos 58° + i sin 58°)]* = Round to two decimal…

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Q: Change the equation to rectangular coordinates. r(3 cos e + 4 sin 0) = 12

A: r3cosθ+4sinθ=12

Q: Find zı*z2 and zı/z2. Write your answers in rectangular form (a + ib). 3, = 2(c0s + i in + i sin 8 +…

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Q: Which of the following are solutions to the following equation where 0 < 0 < 2n -2 sin(30) = 1 %3D…

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Q: Find the velocity, speed, and acceleration of 7(t) = ( cos(3t), sin(3t), t² + 2t ) CoS

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Q: Find zw and . Write each answer in polar form and in exponential form. cos 4 +i sin2 and 뚱 + i sin…

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Q: 3. Simplify the following, giving the results in polar form (1) 3(cos 143° + j sin 143°) X 4(cos 57°…

A: Cos(x)+isin(x)=e^(ix) Please see the explanation below

Q: Find all values of z satisfying the given equation. cos z = i sin z

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

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Q: Match each graph with its equation. r = 1- 4cos(0) r=1+4 sin(@) r= 1-4sin(0) r = 1+ 4 cos(0)

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Q: Find the exact value of cos A in simplest radical form. B 25 7 A 24

A: find the exact value of cos A in the simplest radical form

Q: Perform the indicated operation: 9 [ cos (289°) + i sin (289°) ] * 14 [ cos (197°) + i sin (197°) ]…

A: Given that                                9cos(289°)+i sin(289°)×14cos(197°)+i sin(197°) we can…

Q: Perform the indicated operation: 5 [ cos (275°) + i sin (275°) ] * 13 [ cos (268°) + i sin (268°) ]…

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Q: Find zw and Write each answer in polar form and in exponential form. W Z= 6 cos -+i sin 5. W = 6 cos…

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Q: Find zw and z/w. Write each answer in polar form and exponential form. z=9(cos pi/8 + i sin pi/8)…

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Q: a) Let zi = 4 cos Find 2₁ - 22 and 7π 12 21 Z2 5TT 12 + i sin and = 3 (cos. Leave your answer in…

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Q: Find the four fourth roots of z = 16( cos + i sin 3 Write each root in standard form. Wo = W1 = W2 =…

A: We will use the De-Moivre's theorem to find out the 4th roots of the complex number.

Q: By considering the real and imaginary parts of the product eiθ eiφ prove the standard formulae for…

A: Given problem:- By considering the real and imaginary parts of the product eiθ eiφ prove the…

Q: 1. In AABC right angled at B, AB=24 cm, BC=7 cm. Determine (i), sin A.cos A

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Q: Given the 2 sin 0 + V3 = 0,0 <0 < 2n. Solve this trigonometric equation and find its theta.

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Q: Find the exact value of cos(A) in simplest radical form. 5 A 3 4-

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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: 1 Convert the equation to rectangular coordinates: r = %D 4 sin 0 + 2 cos 0

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Q: Perform the indicated operation: 5 [ cos (275°) +i sin (275°) ] * 13 [ cos (268°) + i sin (268°) ]…

A: Proceed as shown...

Q: Find the solution(s) for theta. 0 = -1+ cos 0 O {0, 240} {} 1O No solution {0, 120}

A: The given equation,        0=-1+cosθ

Q: Which of the following are solutions to the following equation where 0 < 0 < 2n 2 cos(30) = -V2 %3D

A: Given

Q: Find a cofunction with the same value as the given expression. cos(4pi/3+x)

A: Consider the given cosine function, cos4π3+x The cofunction of the cosine function is the sine…

Q: Write z = 2(cos 60° + i sin 60°) in rectangular form.

A: Write z = 2(cos 60° + i sin 60°) in rectangular form.

Q: Convert to rectangular form. (a) r= 4 cos 0 (b) r = 4 sin 20

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Q: Write the following numbers in Polar form: r(cos 0 + i sin 0) with 0 < 0 < 27. r = 4i r =

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