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JHMT problems
2024 JHMT HS
7
Sines and Floors
Sines and Floors
Source:
September 7, 2024
algebra
floor function
trigonometry
2024
Problem Statement
Compute the sum of all real solutions
α
\alpha
α
(in radians) to the equation
∣
sin
α
∣
=
⌊
α
20
⌋
.
|\sin\alpha|=\left\lfloor \frac{\alpha}{20} \right\rfloor.
∣
sin
α
∣
=
⌊
20
α
⌋
.
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