Difference between revisions of "2007 iTest Problems/Problem 48"
(Created page with "== Problem == Let a and b be relatively prime positive integers such that <math>a/b</math> is the maximum possible value of <math>\sin^2x_1+\sin^2x_2+\sin^2x_3+\cdots+\sin^2x_{2...") |
Clarkculus (talk | contribs) |
||
| Line 4: | Line 4: | ||
== Solution == | == Solution == | ||
| + | 13 | ||
| + | ==See Also== | ||
| + | {{iTest box|year=2007|num-b=47|num-a=49}} | ||
Latest revision as of 11:24, 6 April 2024
Problem
Let a and b be relatively prime positive integers such that 
is the maximum possible value of 
, where, for 
is a nonnegative real number, and 
. Find the value of 
.
Solution
13
See Also
| 2007 iTest (Problems, Answer Key) | ||
| Preceded by: Problem 47 |
Followed by: Problem 49 | |
| 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 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 • 51 • 52 • 53 • 54 • 55 • 56 • 57 • 58 • 59 • 60 • TB1 • TB2 • TB3 • TB4 | ||
