Difference between revisions of "2006 Seniors Pancyprian/2nd grade/Problem 3"
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== Problem == | == Problem == | ||
| − | i)Convert <math>\ | + | i)Convert <math>\alpha=\sin(x-y)+\sin(y-z)+\sin(z-x)</math> into product. |
| − | ii)Prove that: If in a triangle <math>\ | + | ii)Prove that: If in a triangle <math>\alpha\beta\gamma</math> is true that <math>\alpha \sin \beta + \beta \sin \gamma + \gamma \sin \alpha= \frac{\alpha+\beta+\gamma}{2}</math>, then the triangle is isosceles. |
== Solution == | == Solution == | ||
Latest revision as of 00:24, 13 March 2020
Problem
i)Convert 
into product.
ii)Prove that: If in a triangle 
is true that 
, then the triangle is isosceles.
