일반해까지 구하는 삼각방정식 풀이 퀴즈

Question 1

$[0,2\pi)$에서 풀어라: $\sin x=\frac{\sqrt{3}}{2}$.

Accepted Answer

$x=\frac{\pi}{3},\ \frac{2\pi}{3}$

Answer

$x=\frac{\pi}{3}$

Answer

$x=\frac{\pi}{6},\ \frac{5\pi}{6}$

Answer

$x=\frac{2\pi}{3},\ \frac{5\pi}{3}$

Question 2

$[0,2\pi)$에서 풀어라: $	an x\,(\sec x-1)=0$.

Accepted Answer

$x=0,\ \pi$

Answer

$x=0$

Answer

$x=\frac{\pi}{2},\ \frac{3\pi}{2}$

Answer

$x=0,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2}$

Question 3

모든 실수 $x$에 대해 풀어라: $\sin(2x)+\sin x=0$.

Accepted Answer

$x=k\pi$ or $x=\frac{2\pi}{3}+2k\pi$ or $x=\frac{4\pi}{3}+2k\pi$

Answer

$x=k\pi$

Answer

$x=\frac{\pi}{3}+2k\pi$ or $x=\frac{5\pi}{3}+2k\pi$

Answer

$x=\frac{2\pi}{3}+2k\pi$

신뢰 및 인정