2015 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 7

Problem

Let $A$ be the average of the three numbers $\sin{2\alpha}, \sin{2\beta} , \sin(2\gamma)$ where $\alpha + \beta + \gamma = \pi.$ Express the product $P = sin(\alpha) sin(\beta) sin(\gamma)$ in terms of $A$.

Solution

See also

2015 UNM-PNM Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10
All UNM-PNM Problems and Solutions

[[Category:]]

Invalid username
Login to AoPS