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1999 Ukraine National Mathematical Olympiad
Problem 1
trig equation, high exponents
trig equation, high exponents
Source: Ukraine 1999 Grade 11 P1
May 11, 2021
trigonometry
algebra
Problem Statement
Solve the equation
(
sin
x
)
1998
+
(
cos
x
)
−
1999
=
(
cos
x
)
1998
+
(
sin
x
)
−
1999
.
(\sin x)^{1998}+(\cos x)^{-1999}=(\cos x)^{1998}+(\sin x)^{-1999}.
(
sin
x
)
1998
+
(
cos
x
)
−
1999
=
(
cos
x
)
1998
+
(
sin
x
)
−
1999
.
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