Difference between revisions of "2021 AMC 12A Problems/Problem 19"
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+ | == Video Solution by pi_is_3.14 (Using Triangle Inequality & Trigonometry) == | ||
+ | https://youtu.be/wJxN1YPuyCg | ||
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+ | ~ pi_is_3.14 | ||
==See also== | ==See also== | ||
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{{MAA Notice}} | {{MAA Notice}} |
Revision as of 19:29, 11 February 2021
Contents
Problem
How many solutions does the equation have in the closed interval ?
Solution
The interval is , which is included in the range of both and , so we can use them 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 pi_is_3.14 (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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