If 𝒙=𝒄𝒐𝒔𝜽 𝒊𝒔𝒊𝒏𝜽

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If 𝒙=𝒄𝒐𝒔𝜽+𝒊𝒔𝒊𝒏𝜽 show that 𝒙^𝒏+ 𝟏/𝒙^𝒏 =𝟐𝐜𝐨𝐬𝐧𝜽 and 𝒙^𝒏− 𝟏/𝒙^𝒏 =𝟐𝐢𝐬𝐢𝐧𝒏𝜽 | De Moivres Theorem Examples

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If z = cos θ + i sin θ then z^n+1/z^n = 2 cos nθ and z^n -1/z^n = 2 i sin nθ || Complex Numbers

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using de Moivre's theorem to express sin nθ and cos nθ in terms of sinθ and cosθ ExamSolutions

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If a = cosθ + isinθ, then Find the value of (1 + a/1 - a)

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If x+1/x=2 cos⁡〖θ,〗 then x is equal to

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Complex definitions of sine and cosine

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If x+1/x =2cosθ Find x. #shorts#mathematics#susmitasharmaclasses#cosθ

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Proof of Euler's Formula Without Taylor Series

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if x+iy=1/1+cosθ+isinθ then show that (4x² -1)=0 (Mar-15 T.s)(Mar-16 A.P) (May-16)

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How to find an expression for (sinθ)^5 using de Moivre's theorem

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(i)If x+iy=1/ 1+cosθ+isinθ then show that (4x²-1)=0.(ii)Ifu+iv=2+i/z+3 and z=x+iy then find u, v.

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Prove that for z=cos𝜽+isin𝜽, 𝟏/𝒛=𝟏/(𝒄𝒐𝒔𝜽+𝒊𝒔𝒊𝒏𝜽)=cos𝜽-isin𝜽 and (𝒄𝒐𝒔𝜽−𝒊𝒔𝒊𝒏𝜽)^𝒏=cosn𝜽−𝒊𝒔𝒊𝒏𝒏𝜽

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if z=cosθ+isinθ prove that x^n-1/z^n = (2sinθ)

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Trigonometry : cos 3θ in terms of cos θ : ExamSolutions Maths Video Tutorials

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If x+iy=3/2+cosθ+ isinθ then , Show that x²+y²= 4x-3 (mar-17TS)

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If x+iy=3/2+cosθ+isinθ then, show that x²+y²=4x-3. | complex numbers | maths -2A inter 2nd year

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How to show e^iθ = cos θ + i sin θ using Standard Series

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If x + i y = 1 / 1 + Cos + i Sin then show that 4x^2 - 1 = 0 @EAG

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If (cosθ+isinθ) (cos2θ+isin2θ) …………(cosnθ+isinnθ)=1, then the value of θ is

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Show that 1+cosθ+isinθ=2cos(θ/2)(cos(θ/2)+isin(θ/2))

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SAQ Video 1 || 16) If x+iy = 1/ 1+cos theta+i sin theta then, show that 4x²-1=0

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#09 problem of complex number | prove that ((1+cosθ+i sinθ)/(1+cosθ-i sinθ))^n= cos⁡nθ+i sin nθ

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How to write complex numbers in polar form

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e^(iπ) in 3.14 minutes, using dynamics | DE5