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Soros Olympiad in Mathematics
II Soros Olympiad 1995 - 96 (Russia)
11.2
arcsin (sinx) + arccos (cosx)=0 (II Soros Olympiad 1995-96 R2 11.2)
arcsin (sinx) + arccos (cosx)=0 (II Soros Olympiad 1995-96 R2 11.2)
Source:
June 3, 2024
algebra
trigonometry
Problem Statement
Solve the equation
a
r
c
sin
(
sin
x
)
+
a
r
c
cos
(
cos
x
)
=
0
arc \sin (\sin x) + arc \cos (\cos x)=0
a
rc
sin
(
sin
x
)
+
a
rc
cos
(
cos
x
)
=
0
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