MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AIME Problems
1984 AIME Problems
13
13
Part of
1984 AIME Problems
Problems
(1)
Trig Computation
Source:
12/19/2005
Find the value of
10
cot
(
cot
−
1
3
+
cot
−
1
7
+
cot
−
1
13
+
cot
−
1
21
)
10\cot(\cot^{-1}3+\cot^{-1}7+\cot^{-1}13+\cot^{-1}21)
10
cot
(
cot
−
1
3
+
cot
−
1
7
+
cot
−
1
13
+
cot
−
1
21
)
.