# Câu 27

Prove sầu that an 3a = ung 3b = ung 3c if sin a + sin b + sin c = 0 and cos a + cos b + cos c = 0
https://math.stackexchange.com/questions/2015438/prove-that-tan-3a-tan-3b-tan-3c-if-sin-a-sin-b-sin-c-0-and
By geometry : (cos a,sin a),(cos b,sin b),(cos c,sin c) are three unit vectors which sum lớn zero. Then they must be the vertices of an equilateral triangle inscribed in the trigonometric ...

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https://math.stackexchange.com/questions/2651583/finding-relationships-between-angles-a-b-and-c-when-sin-a-sin-b-sin-c
If we plot a vector (or complex number) sketch in which sin alpha = sin eta + sin gamma as follows we can establish some interesting consequential relations. One is given by the length of ...
Let p = fracx^2x^2 + k, quad q = fracy^2y^2 + k, quad r = fracz^2z^2 + k. Then by assumption p + q + r = 1. Letting a, b and c be the sides of the triangle, we have sầu by ...

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Is there an elegant way to lớn prove that the sequence sin (n)\_n in mathbfN lies dense in <-1, 1> submix mathbfR?
https://www.quora.com/Is-there-an-elegant-way-to-prove-that-the-sequence-sin-n-_-n-in-mathbf-N-lies-dense-in-1-1-subset-mathbf-R
I would do that : 1 - subgroups of (R,+) are of the khung a Z or dense in R. và that a Z + b Z = c Z is equivalent lớn a/b is rational. 2 - given a surjective sầu and continuous function f, from I ...
This is the definition of sine law which state that fracasin left( A ight) =fracbsin left( B ight) =fraccsin left( C ight) =2R where R is the circumradius of the ...
It seems that it follows from Jordan's ineunique . frac2pi(A + B +C) = 2 le sin(A) + sin (B) + sin (C)
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