Express 6(cos 2pi/3 + i sin 2pi/3) in the form of a +bi

Q: Find all solutions of the equation in the interval [0,2π) sin5xcos2x-cos5xsin2x=1

A:

Q: Prove that the distance sin 0₁ 2³ +|sin 0₂2² + greater than 2/3. of the roots of the equation sin…

A: To prove that the distance of the roots of the equation…

Q: Find the exact value of cos2 15° - sin2 15°.

A: We have to find the exact value of cos2 15°-sin2 15°Formula used :-Cos 2θ= cos2 θ-sin2θ -1

Q: Prove that sin 4A = 4sinA cos³A - 4 cosA sinA.

A:

Q: Find all solutions to 2 sin(0) = 3 on the interval 0 <0 < 2n %3D

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve the equation on the interval 0 ≤0<2t. cos (20) + 10 sin ²0=7

A:

Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: 2 sin 50 cos 0 – 2 cos 50 sin 0=/2

A:

Q: Prove that the equation 4 sin 4 has a solution.

A: Given,

Q: Find all exact solutions of cos(5x/9) = -1/2 show work

A: To find all the solutions for x

Q: Express the number 2√3 – 3i in the form R(cos(0) + i sin(0)) = Reio, - where R> 0 and - ≤0 ≤T. NOTE:…

A:

Q: 1 Prove that sec 03D Cos 0

A: Let P(x,y) be a point on a circle of radius r associated with the angle θ.

Q: Find all solutions to 2 sin2 3u - sin 3u - 1 = 0, if u is measured in degrees.

A: given that 2 sin2 3u - sin 3u - 1 = 0 we need to find  all the possible solutions of u. the above…

Q: Find 4x° cos(2r) dr. 1 (- sin(32) + sin(2)) 0. (sin(2)- sin(1)) 1 6(-sin(2) + sin(1)) None of the…

A:

Q: Find all solutions of the given equation in the interval [0, 2.1). sin 5x + sin 3x 0 =

A:

Q: 2. Express cos(60) in terms of powers of cos only.

A:

Q: Prove that (7 sin2m-10 cos2n-10 = – B(m,n)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the exact value of 2 COS²60- Sin ² 60

A: Let's find value of trigonometric function.

Q: Find all solutions of the equation in the interval [0, 2). 2 sin0 + sin 20 =0

A: Given,             2sinθ+sin2θ=0

Q: Show that the equation has exactly one real root. 2x + cos(x) = 0 %3D

A: Our Aim is to show that the equation 2x+cos (x)=0 has exactly onereal root.

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: Show that V2 + V2 cos 2 and cos 16 and use it to find sin 16 Show that

A:

Q: Find all solutions to 2 sin(60) = - V2 on the interval 0 <0 < 27 %3D

A:

Q: 5/2 Sin'2 cos3x

A: write ∫sin52xcos3xdx as ∫sin52xcos2xcosxdx. Use the identity sin2x+cos2x=1. So,…

Q: 7. Determine all the solutions to the equation in the interval [0, 27): sin 20 cos0 – cos 20 sin0 +1…

A: As we know that Sinx-y=SinxCosy-CosxSinyThe genaral solution of Sinz=-1  then z=Sin-1-1=nπ±π2

Q: 125 cos – j sin 11 7T 11 1. Simplify . Express answer in rectangular form. 47 + jsin 11 J5 cos 11

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

Q: Give the smallest two solutions of sin(20) = 0.8439 on [0, 2π). + + + + 3

A:

Q: Prove that cos 20/sin20=2cos20 |

A:

Q: prove that: a- cos20 = cos²0 – sin²0 %3D sin20 = 2sin0cos

A:

Q: 25. sin 2x = -Cscx %3D

A:

Q: Prove that cos 17° + sin17° tan62° %3D cos17° – sin17°

A: Devide the whole left side by Cos17° and use formula of tan(a+b)

Q: 3. Express into standard form: = = 8[cos (-5) + + sin(-5)] Z i 3 3

A: Solution

Q: prove it 5. 2 sin (3x) = 1– cos(6x)

A:

Q: 4. Express in the form a + jb, (i) 2(cos 30° +j sin 30°) (ii) 5(cos 57° -j sin 57°)

A: To write in the form of a+jb

Q: Use DeMoivre’s Theorem to find z4 if z = 2 (cos 3π/4 + i sin 3π/4). Write your answer in standard…

A:

Q: Find all solutions of the equation in the interval [0, 2n). (2 sin 0 + /2)(2 cos 0 + /3)=0

A:

Q: find solutions of the equation in the interval [0,2pi) cos5xcos2x+sin5xsin2x=0

A:

Q: COS ZIT 12 sin 5TT- CoS 5TT. s'in 12 el

A:

Q: Find cos if sin = 1/2 terminates in QII

A: Given data:     The given value of the trigonometric identity is: sinθ=1/2.     Evaluate the given…

Q: By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ -…

A: Given By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5

Q: Find the four fourth roots of z= cos 4p/3 i+ sin 4p/3 . Leave your answers in trigonomet-ric form.

A: De Moivre's law: cosθ+isinθn=cos nθ+isin nθ.

Q: Show that the equation has exactly one real root. 8x + cos(x) = 0 %3D

A:

Q: Verify the identity : 2 sin2x-1= 1- 2 cos2x

A:

Q: Prove CotA= sin2A/1-cos2A

A:

Q: Determine 1-/[e-tt sin(2t)] 2- 23+3s)*

A: Given

Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: Find all solutions of the equation in the interval (0, 27). sin (0) + 3 sin(0) +2 = 0

A: