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2014 Albania Round 2
4
Number theory, Trigonometry with logarithms
Number theory, Trigonometry with logarithms
Source: Albania Round 2, Grade XI 2014 P4
November 14, 2018
number theory
algebra
trigonometry
logarithms
Problem Statement
Solve the equation,
sin
(
π
log
x
)
+
cos
(
π
log
x
)
=
1
\sin (\pi \log x) + \cos (\pi \log x) = 1
sin
(
π
lo
g
x
)
+
cos
(
π
lo
g
x
)
=
1
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