Difference between revisions of "2021 AMC 12B Problems/Problem 13"
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First, move terms to get <math>1+5cos3x=3sinx</math>. After graphing, we find that there are <math>\boxed{6}</math> solutions. (two in each period of <math>5cos3x</math>) | First, move terms to get <math>1+5cos3x=3sinx</math>. After graphing, we find that there are <math>\boxed{6}</math> solutions. (two in each period of <math>5cos3x</math>) | ||
Revision as of 21:50, 11 February 2021
Problem
How many values of 
in the interval 
satisfy![\[1-3\sin\theta+5\cos3\theta?\]](http://latex.artofproblemsolving.com/c/2/4/c24b458f389d63f407e3740dc64386119db8a8c3.png)
Solution
First, move terms to get 
. After graphing, we find that there are 
solutions. (two in each period of 
)
See Also
| 2021 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 12 |
Followed by Problem 14 |
| 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 | |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
