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Putnam
2003 Putnam
3
Putnam 2003 A3
Putnam 2003 A3
Source:
June 22, 2011
Putnam
trigonometry
function
algebra
domain
calculus
absolute value
Problem Statement
Find the minimum value of
∣
sin
x
+
cos
x
+
tan
x
+
cot
x
+
sec
x
+
csc
x
∣
|\sin{x} + \cos{x} + \tan{x} + \cot{x} + \sec{x} + \csc{x}|
∣
sin
x
+
cos
x
+
tan
x
+
cot
x
+
sec
x
+
csc
x
∣
for real numbers
x
x
x
.
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