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Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
10.2
|cos3x-tgt+ |cos3x+tgt|=|tg^2t -3|(V Soros Olympiad 1998-99 Round 3 10.2)
|cos3x-tgt+ |cos3x+tgt|=|tg^2t -3|(V Soros Olympiad 1998-99 Round 3 10.2)
Source:
May 26, 2024
algebra
trigonometry
Problem Statement
Solve the equation
∣
cos
3
x
−
t
g
t
∣
+
∣
cos
3
x
+
t
g
t
∣
=
∣
t
g
2
t
−
3
∣
.
|\cos 3x - tgt| + |\cos 3x + tgt| = |tg^2t -3|.
∣
cos
3
x
−
t
g
t
∣
+
∣
cos
3
x
+
t
g
t
∣
=
∣
t
g
2
t
−
3∣.
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