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Find all real x in the interval [0, 2pi) [Slovenia 2010]
Find all real x in the interval [0, 2pi) [Slovenia 2010]
Source:
November 16, 2010
trigonometry
algebra proposed
algebra
Problem Statement
Find all real
x
x
x
in the interval
[
0
,
2
π
)
[0, 2\pi)
[
0
,
2
π
)
such that
27
⋅
3
3
sin
x
=
9
cos
2
x
.
27 \cdot 3^{3 \sin x} = 9^{\cos^2 x}.
27
⋅
3
3
s
i
n
x
=
9
c
o
s
2
x
.
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