MathDB

9

Part of 2020 AMC 12/AHSME

Problems(1)

Trig Equation

Source: 2020 AMC 12A #9

1/31/2020
How many solutions does the equation tan⁡(2x)=cos⁡(x2)\tan{(2x)} = \cos{(\tfrac{x}{2})} have on the interval [0,2π]?[0, 2\pi]?
<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>3<spanclass=′latex−bold′>(D)</span>4<spanclass=′latex−bold′>(E)</span>5<span class='latex-bold'>(A) </span> 1 \qquad <span class='latex-bold'>(B) </span> 2 \qquad <span class='latex-bold'>(C) </span> 3 \qquad <span class='latex-bold'>(D) </span> 4 \qquad <span class='latex-bold'>(E) </span> 5
trigonometryAMCAMC 12AMC 12 A2020 AMC2020 AMC 12A