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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 (Problems • Answer Key • Resources)
Preceded by
Problem 6 		Followed by
Problem 8
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNM-PNM Problems and Solutions

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