Difference between revisions of "2020 AMC 12A Problems/Problem 9"
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Drawing such a graph would get <math>\boxed{\textbf{E) }5}</math> ~lopkiloinm | Drawing such a graph would get <math>\boxed{\textbf{E) }5}</math> ~lopkiloinm | ||
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+ | Or you could see the points at which both graphs are positive or both are negative, again yielding 5 such areas. -hi13 | ||
edited by - annabelle0913 | edited by - annabelle0913 |
Revision as of 15:59, 17 May 2020
Problem
How many solutions does the equation have on the interval
Solution
Draw a graph of and
has a period of asymptotes at and zeroes at . It is positive from and negative elsewhere.
cos has a period of and zeroes at . It is positive from and negative elsewhere.
Drawing such a graph would get ~lopkiloinm
Or you could see the points at which both graphs are positive or both are negative, again yielding 5 such areas. -hi13
edited by - annabelle0913
See Also
2020 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 8 |
Followed by Problem 10 |
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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