三角関数各象限値表

第一象限

度数法[°] \[0\] \[30\] \[45\] \[60\] \[90\]
弧度法[rad] \[0\] \[\frac{\pi}{6}\] \[\frac{\pi}{4}\] \[\frac{\pi}{3}\] \[\frac{\pi}{2}\]
\[\sin\theta\] \[0\] \[\frac{1}{2}\] \[\frac{\sqrt{2}}{2}\] \[\frac{\sqrt{3}}{2}\] \[1\]
\[\cos\theta\] \[1\] \[\frac{\sqrt{3}}{2}\] \[\frac{\sqrt{2}}{2}\] \[\frac{1}{2}\] \[0\]
\[\tan\theta\] \[0\] \[\frac{1}{\sqrt{3}}\] \[1\] \[\sqrt{3}\] \[\infty\]

第二象限

度数法[°] \[90\] \[120\] \[135\] \[150\] \[180\]
弧度法[rad] \[\frac{\pi}{2}\] \[\frac{2\pi}{3}\] \[\frac{3\pi}{4}\] \[\frac{5\pi}{6}\] \[\pi\]
\[\sin\theta\] \[1\] \[\frac{\sqrt{3}}{2}\] \[\frac{\sqrt{2}}{2}\] \[\frac{1}{2}\] \[0\]
\[\cos\theta\] \[0\] \[-\frac{1}{2}\] \[-\frac{\sqrt{2}}{2}\] \[-\frac{\sqrt{3}}{2}\] \[-1\]
\[\tan\theta\] \[\infty\] \[-\sqrt{3}\] \[-1\] \[-\frac{1}{\sqrt{3}}\] \[0\]

第三象限

度数法[°] \[180\] \[210\] \[225\] \[240\] \[270\]
弧度法[rad] \[\pi\] \[\frac{7\pi}{6}\] \[\frac{5\pi}{4}\] \[\frac{4\pi}{3}\] \[\frac{3\pi}{2}\]
\[\sin\theta\] \[0\] \[-\frac{1}{2}\] \[-\frac{\sqrt{2}}{2}\] \[-\frac{\sqrt{3}}{2}\] \[-1\]
\[\cos\theta\] \[-1\] \[-\frac{\sqrt{3}}{2}\] \[-\frac{\sqrt{2}}{2}\] \[-\frac{1}{2}\] \[0\]
\[\tan\theta\] \[0\] \[\frac{1}{\sqrt{3}}\] \[1\] \[\sqrt{3}\] \[-\infty\]

第四象限

度数法[°] \[270\] \[300\] \[315\] \[330\] \[360\]
弧度法[rad] \[\frac{3\pi}{2}\] \[\frac{5\pi}{3}\] \[\frac{7\pi}{4}\] \[\frac{11\pi}{6}\] \[2\pi\]
\[\sin\theta\] \[-1\] \[-\frac{\sqrt{3}}{2}\] \[-\frac{\sqrt{2}}{2}\] \[-\frac{1}{2}\] \[0\]
\[\cos\theta\] \[0\] \[\frac{1}{2}\] \[\frac{\sqrt{2}}{2}\] \[\frac{\sqrt{3}}{2}\] \[1\]
\[\tan\theta\] \[-\infty\] \[-\sqrt{3}\] \[-1\] \[-\frac{1}{\sqrt{3}}\] \[0\]


三角関数

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