Difference between revisions of "2020 AMC 12A Problems/Problem 9"
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− | <math>\tan</math> | + | <math>\tan(2x)=\frac{\sin(2x)}{\cos(2x)}</math> |
==See Also== | ==See Also== |
Revision as of 23:30, 1 February 2020
Problem
How many solutions does the equation tan have on the interval
Solution
Draw a graph of tan and cos
tan 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
Solution (Algebraically)
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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