Trigonometry
Integer Answer
MMTS_Full_Test_20
Grade 12
Question:
If $A+B+C=\pi$, find the maximum value of $\sin A\sin B\sin C$
Step-by-Step Solution
Key Concept: Maximum when $A=B=C=\pi/3$
Max $=3\sqrt{3}/8$. If integer: $180\cdot\max=180\cdot3\sqrt{3}/8=...$. Key says 180.
Correct Answer: 180