Cos- - cos - - - - cos 2 - - - - - 2 n terms -

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Sum of N Terms of an AP

cosθ + cos π ...

Question

$cos θ + cos (π + θ) + cos (2 π + θ) + \dots + 2 n$ terms =

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n cos θ

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n cos θ

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2^{n - 1} (cos θ - cos \frac{π}{n}) (cos θ - cos \frac{2 π}{n}) . . . (cos θ - cos \frac{n - 1}{n} π)

(c o s θ + i s i n θ)^{n}

θ ϵ R, n ϵ I, i = \sqrt{- 1}

θ

c o s θ = \frac{8}{17},

c o s (\frac{π}{6} + θ) + c o s (\frac{π}{4} - θ) + c o s (\frac{2 π}{3} - θ)

= (\frac{\sqrt{3} - 1}{2} + \frac{1}{\sqrt{2}}) \frac{23}{17}

m s i n θ = n c o s θ

\frac{t a n θ + c o t θ}{t a n θ - c o t θ} = \frac{n s i n θ + m c o s θ}{n s i n θ - m c o s θ} = \frac{n^{2} + m^{2}}{n^{2} - m^{2}}

c o s (\frac{π}{2} + θ) + c o s (\frac{5 π}{2} + θ) + c o s (\frac{7 π}{2} + θ) \dots

2021

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