MathDB
Sine Goes Bonkers

Source: 2021 AMC 12A (Fall) #19

November 11, 2021
trigonometry

Problem Statement

Let xx be the least real number greater than 11 such that sin⁡(x)\sin(x) = sin⁡(x2)\sin(x^2), where the arguments are in degrees. What is xx rounded up to the closest integer?
<spanclass=′latex−bold′>(A)</span>10<spanclass=′latex−bold′>(B)</span>13<spanclass=′latex−bold′>(C)</span>14<spanclass=′latex−bold′>(D)</span>19<spanclass=′latex−bold′>(E)</span>20<span class='latex-bold'>(A) </span> 10 \qquad <span class='latex-bold'>(B) </span> 13 \qquad <span class='latex-bold'>(C) </span> 14 \qquad <span class='latex-bold'>(D) </span> 19 \qquad <span class='latex-bold'>(E) </span> 20
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