2021 AMC 12A Problems/Problem 19
Contents
[hide]Problem
How many solutions does the equation have in the closed interval ?
Solution
The interval is , which is included in the range , so we can use it with no issues.
This only happens at on the interval , because one of and must be and the other . Therefore, the answer is
~Tucker
Video Solution by OmegaLearn (Using Triangle Inequality & Trigonometry)
~ pi_is_3.14
See also
2021 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 18 |
Followed by Problem 20 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
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