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Spain Mathematical Olympiad
1985 Spain Mathematical Olympiad
3
solve tan^2 2x+2 tan2x tan3x = 1
solve tan^2 2x+2 tan2x tan3x = 1
Source: Spanish Mathematical Olympiad 1985 P3
August 2, 2018
Trigonometric Equations
trigonometry
geometry
Problem Statement
Solve the equation
t
a
n
2
2
x
+
2
t
a
n
2
x
t
a
n
3
x
=
1
tan^2 2x+2 tan2x tan3x = 1
t
a
n
2
2
x
+
2
t
an
2
x
t
an
3
x
=
1
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