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India Contests
Regional Mathematical Olympiad
1995 India Regional Mathematical Olympiad
7
7
Part of
1995 India Regional Mathematical Olympiad
Problems
(1)
Another trig ineq
Source: Indian RMO 1995 Problem 7
10/26/2005
Show that for any real number
x
x
x
:
x
2
sin
x
+
x
cos
x
+
x
2
+
1
2
>
0.
x^2 \sin{x} + x \cos{x} + x^2 + \frac{1}{2} > 0 .
x
2
sin
x
+
x
cos
x
+
x
2
+
2
1
>
0.
trigonometry
Old RMO
algebra