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Chisinau City MO
1949-56 Chisinau City MO
50
Chisinau MO p50 1949-56 VIII-IX ctg(a/2)}> 1 + ctga for 0 <a < pi /2
Chisinau MO p50 1949-56 VIII-IX ctg(a/2)}> 1 + ctga for 0 <a < pi /2
Source:
March 15, 2021
trigonometry
inequalities
algebra
Problem Statement
Prove the inequality:
c
t
g
a
2
>
1
+
c
t
g
a
ctg \frac{a}{2}> 1 + ctg a
c
t
g
2
a
>
1
+
c
t
g
a
for
0
<
a
<
π
2
0 <a <\frac{\pi}{2}
0
<
a
<
2
π
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