Find [2(cos 20° + i sin 20°)]6. Write the answer in rectangular form, a + bi.

Q: Use the equation editor to find all solutions in the interval [0, 2 TT). 10 cos2 0+ cos 20 = 8

A: Topic:- trigonometry Use the identity cos 2x=2cos2x-1

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

A: Here given equation is cos 2π/3 + i sin 2π/3 = cos 60° + i sin 60° = 1/2 + i 3/2

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

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Q: 13t 35л sin 18 35п 13t sin COS COS 36 18 36

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Q: Find the points of intersection of the graphs of the equations  r = 1 − cos θ,    r = 1 + sin θ

A: To find θ, we equate the graphs.

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

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Q: Find the exact radian solutions for all x which are solutions of the equation. 4 cos(2x) – 2 = 0

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

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Q: Evaluate and write your answer in a + bi form. [3(cos 82° + i sin 82°)]³ = Round to two decimal…

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Q: Use the fact that 2(V6 + V2) cos- to find sin and cos 24 24

A: Given that the fact cos π12 = 146+2 To find the cos π24  and   sin π24

Q: Convert r = 6(sin(0) + cos(0)) to an equation in rectangular coordinates in terms of x and y.

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Q: Solve the cofunction of sec(3pi/10)

A: The given expression is sec3π10. Cofunction identities in radians. sec3π10= csc(π2 -…

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: 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: 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: Find a rectangular form of the equation. r(7 cos 0 + sin 0) = 4

A: To convert a polar form to rectangular form the following formulae are used.

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

A: To express: The expression 3cos3π2+isin3π2 in the form of a+ib. Given: The expression is…

Q: Find the fourth roots of z= 16(cos 60 + i sin 60)

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Q: What is Arg(cos ()- i sin-)) 21/3 TC 7T 37/4

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Q: Solve the following trigonometric equations and provide all solutions 1. cost sin3t =…

A: We need to solve the trigonometric equations.

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: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

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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: cos? + i (sin y cos y)- sin? a 0.866 + 0.5i 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: State whether the following statement is true or false. Explain. + i sin 4 2 cos - + i sin 4 = 10|…

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Q: solve for the angle u, where 0 … u … 2π sin 2θ - cos θ = 0

A: To calculate the angle u

Q: Express in Rectangular Form: a. 6(cos 180°+ i sin 180°) b. 3(cos 232° + i sin 232°)

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Q: What are the zeroes of the equation r = sin ( θ ) + 8 ?

A: given    r = sin(θ ) + 8

Q: Express the number -9 in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2TT. NOTE: Enter…

A: Exponential and Polar form

Q: Use the triangle below to find sin 8. V5 3.

A: Given : A right triangle.

Q: Graph the equation r = sin^2 (2.3u) + cos^4 (2.3u) for 0 &lt;=u&lt;= 10pai.

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Q: 6. Find cos(u + u) and simplify as much as possible.

A: Find cosu+u and simplify as much as possible.

Q: 22 Drag the tiles to the boxes to form correct pairs. Match the trigonometric expressions to their…

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Q: A) 16 sin37 = %3D B) cos53 16

A: Given: To find the correct equation.

Q: V125 cos- jsin 11 - | 11 Simplify . Express answer in rectangular form. 5 cos 47 + j sin 11 11

A: Rectangular form of the complex number

Q: Please help me solve the given trigonometric equation.

A: Consider the given equation and replace the term cos(4x) using double angle trigonometric identity.…

Q: 3 cos: 12 + jsin + j sin - 4 Simplify Express answer in rectangular form.

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Q: Find the fifth roots: 2(cos () + i sin (#))

A: To find the fifth roots: 2cosπ4+i sinπ4

Q: What is the value of cos 6. а. 1 b. 2 V3 C. d.

A: Given that: cosπ6

Q: Solve the following equation in Cartesian form (r = 1 - cos theta)

A: Given:- r = 1-cosθ To find:- Cartesian form given equation

Q: Determine cos-(sin c) if c = 19% 197 %3D radians. Enter an exact answer in terms of t. 3

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Q: solve for the angle u, where 0 … u … 2π sin2 θ = cos2θ

A: To solve the equation: sin2θ=cos2θ where 0≤θ≤2π. Solution: Solving the given equation.…

Q: Find out Cos(A-B)=?

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

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