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10
Trig Equation
Trig Equation
Source:
December 21, 2005
trigonometry
ARML
AMC
AIME
modular arithmetic
algorithm
function
Problem Statement
Find the smallest positive integer solution to
tan
19
x
∘
=
cos
9
6
∘
+
sin
9
6
∘
cos
9
6
∘
−
sin
9
6
∘
.
\tan 19x^\circ=\frac{\cos 96^\circ+\sin 96^\circ}{\cos 96^\circ-\sin 96^\circ}.
tan
19
x
∘
=
c
o
s
9
6
∘
−
s
i
n
9
6
∘
c
o
s
9
6
∘
+
s
i
n
9
6
∘
.
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