2021 AMC 12A Problems/Problem 19
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Contents
Problem
How many solutions does the equation have in the closed interval ?
Solution 1 (Inverse Trigonometric Functions)
The ranges of and are both , which is included in the range of , 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
Solution 2 (Analysis)
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 |
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All AMC 12 Problems and Solutions |
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