Question

Prove that $\frac{1}{2}+ \sum_{k=1}^n \cos (k\theta) = \sin((n+ \frac{1}{2})\theta)/2\sin\frac{\theta}{2}$

score 919 · Answer 1 · 2018-08-18 18:03:40

919

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Prove that $\frac{1}{2}+ \sum_{k=1}^n \cos (k\theta) = \sin((n+ \frac{1}{2})\theta)/2\sin\frac{\theta}{2}$

Published on 18 Aug 2018 - 18:03

score 35 · Answer 2 · 2018-08-18 19:50:08

35

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score 126 · Answer 3 · 2018-08-18 20:58:57

126

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80

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1.2k

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score 37 · Answer 6 · 2018-08-19 16:40:07

37

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score 70 · Answer 7 · 2018-08-19 19:38:55

70

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score 71 · Answer 8 · 2026-03-27 21:51:23

71

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score 137 · Answer 9 · 2018-08-19 23:06:38

137

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score 1.1k · Answer 10 · 2018-08-20 04:10:17

1.1k

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score 81 · Answer 14 · 2018-08-20 17:01:46

81

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score 135 · Answer 15 · 2026-03-25 13:57:52

135

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List Question

Prove that $\frac{1}{2}+ \sum_{k=1}^n \cos (k\theta) = \sin((n+ \frac{1}{2})\theta)/2\sin\frac{\theta}{2}$

Question on square roots of complex functions

Complex number question - spurious solutions...

verifying an equality

Difference between $z^2$ and $|z|^2$

Prove that if $\Re(z)>x$ then $|z|>|x|$

Find $z^3+bz^2+c=0$

Find the solutions to $e^{\frac{1}{z}} =\displaystyle{ \frac{e^{1+i}}{\sqrt 2}}$

How to find all the $z$ that satisfy $(1+i)z^4=(1-i)|z|^2$?

Conditions under which $az+b\overline{z}+c=0$ in one complex unknown has one solution

Finding the four fourth roots of $-i$ using polar form

path integral using complex logarithm

Can there be other multiplications on $\mathbb{R}^2$ making it a ring?

Find $\frac{z_2}{z_1}$ in the form $a+bi$

Expanding product of binomials $(z^k + z^{-k})$

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