Prove that: 577 3 [Cos Cos БП 6 +isin STT 3 4 +isin STT714 6 ==1

Q: Use the fact that 4 cos2(2π/5) + 2 cos(2π/5) -1 = 0 to prove thata regular pentagon is…

A: Given : 4cos22π/5+2cos2π/5-1=0 To prove: Regular pentagon is constructible .

Q: Find the 3rd roots of a. - 27 (cos 60+ i sin 60) 27 (cos 20+ i sin 20) 27 (cos 80+ i sin 80) 27 (cos…

A: Given query is to find 3rd root.

Q: 73. Use De Moivre's theorem to show that 2( cos + isin 9. is a cube root of 8 cos 9 + isin- 3

A: De Moivre’s theorem is (cosθ+isinθ)p=cospθ+isinθ We have to prove that:…

Q: What is the EXACT value of COS (5) 6 ?

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Q: Prove from the questions in the blue circle

A: To prove the required identity for trigonometric functions of a complex variable.

Q: Find, if 21 = 20 cos (co + i sin 5п 6 5п 6 Z1 = 10 cos 10 (cos ³7 + i sin 4 (37) 4

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Q: Find the quotient 21 22 21 - O 21 (cos 200° + i sin 200°) and 22 21 - 22 O O = 3 (cos 80° + i sin…

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Q: Write in standard form using de moivres theorem [2(cos25deg+isin25deg)]^6

A: Explanation of the solution is given below...using the de moivre theorem

Q: 3Tt ) Determine; [cos (4t +) 4

A: solution given below..

Q: in Let z = 0.5 +",., Find e 6z 3 C) e3 F) e-0.5 (cos 2 + isin2) A) -e 20 B) e-5* (cos 20 + isin20)…

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Q: cos" xdx :0. 6. If n is a positive odd integer, prove that

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Q: Find the efeneral Solutim Of the differential equatim: (0?-40+3)y=x+ee+x?

A: Answer and explanation is given below...

Q: 12 12) Find cos 0 if csc 0 11 11) Find sin 0 if csc 0 = 3 A) 5 В) 12 V23 A) V23 B) 12 23 11 C) 12 4…

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Q: Write do wn the form of particular By=gle) for each of the following g (x) solutiun to

A: For the given differential equation 4y''-4y'-3y=g(x) We need to find the form of a particular…

Q: 1+sece cos0+1 1-sece cos0–1

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Q: Q2. Finel hE2SFnzt.cosst] Hint [2 St. A CosB = Sin CA+B)+SfnCA-B)J

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Q: tan °(ln z) sec® (In z) Evaluate dz.

A: Evaluate: ∫tan3lnxsec6lnxxdx

Q: *k) 1- (sinº x+cos x) = 3 sin² x cos²x

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Q: 3 of u(a,9) = Cof"( 4y Cof' (+y then provethat ace +4u + Sin2ce=0

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Q: be +50 + 10 cos z)dr= %3D

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Q: Given that z = cos + isin and u-iv-(1+z)(1-22). Show that 30 v = utan 2 r = 4² cos² (2). where r is…

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Q: Evaluate L{e" cos 41} s+ 4 d) s2 + 8s - 32 4 4 s-4 a) s2 + 8s - 32 b) s2 - 8s + 32 c) s2 - 8s + 32 a…

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Q: gg Un= 0 1- Cos nn dr 1- Cosit Unt₂ + Un = 20 ot prove that

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Q: Fill in the blanks

A: Solve the following

Q: prove that : 67 + sin 13 13 — З/13 1 sin 13 sin 13 2

A: This is a problem related to trigonometric identity. Based on the value of sin at given angle we…

Q: The answer of integ ra Ssinzx cos3% dX

A: We have to evaluate the given integral.

Q: tanz=zt ² + 3²/³ + 1/ 2²³² + ...

A: According to our policy we are allowed to solve one question at a time. So please post questions if…

Q: T 2 r = 2 + 4 cos 0 Option 1 r = 2 + 4 sin 0 Option 3 axis? r=2-4 sin 0 Option 2 r=2 sin 30 Option 4

A: Which of the following is not symmetric with respect to the pi/2

Q: sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4…

A: Solve the following

Q: Find the simplified rectangular form of 9 cos r+j9 sin- 24 cos 짜124 sin + v6cos ㅠ+ jvV6 sin 금ㅠ+…

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Q: Let F be a scalar function. Determine whether the integration form given is True or False for given…

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Q: (b) Compute the following number Justify all of your steps. (1+000+isin). ¹76. cos

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