About Lesson
(1)
Complete the following table
完成以下的表格
Complete the following table
完成以下的表格
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sin |
cos |
tan |
cot |
sec |
cosec |
0˚ |
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30˚ |
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45˚ |
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60˚ |
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90˚ |
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120˚ |
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135˚ |
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150˚ |
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180˚ |
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210˚ |
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225˚ |
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240˚ |
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270˚ |
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300˚ |
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315˚ |
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330˚ |
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360˚ |
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(2)
Find the values of
计算
Find the values of
计算
(a)
![Rendered by QuickLaTeX.com sin120^{\circ} cot330^{\circ} + cos(-150^{\circ}) tan510^{\circ} + cosec225^{\circ} sec315^{\circ}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-9c32b74990d46b756dcb1f0387014410_l3.png)
(b)
![Rendered by QuickLaTeX.com sin780^{\circ} cos(-210^{\circ}) - cot225^{\circ} sin21395^{\circ} + tan2300^{\circ} - cos180^{\circ}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-7e3f14be64a033dd02ceb0075b2b2235_l3.png)
(c) ![Rendered by QuickLaTeX.com tan390^{\circ} cos(-210^{\circ}) + cot480^{\circ} sin480^{\circ} + cosec\frac{5\pi}{2} sec \pi^{\circ}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-9e3a361858bcd3710b4ba54712267534_l3.png)
![Rendered by QuickLaTeX.com tan390^{\circ} cos(-210^{\circ}) + cot480^{\circ} sin480^{\circ} + cosec\frac{5\pi}{2} sec \pi^{\circ}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-9e3a361858bcd3710b4ba54712267534_l3.png)
(d) ![Rendered by QuickLaTeX.com sec\frac{7\pi}{6}tan\frac{5\pi}{3} - cos\frac{17\pi}{6}cot(-\frac{2\pi}{3}) - sin\frac{3\pi}{2}cosec\frac{11\pi}{6}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-06e5934cb2501159dcf538c063398220_l3.png)
![Rendered by QuickLaTeX.com sec\frac{7\pi}{6}tan\frac{5\pi}{3} - cos\frac{17\pi}{6}cot(-\frac{2\pi}{3}) - sin\frac{3\pi}{2}cosec\frac{11\pi}{6}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-06e5934cb2501159dcf538c063398220_l3.png)
(e)
![Rendered by QuickLaTeX.com tan(-\frac{5\pi}{4})-cos\frac{11\pi}{3}+sin\frac{17\pi}{6}-sec\frac{11\pi}{6}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-321664865fad8ea1bc8f30f4bbbbd1c9_l3.png)
ANSWER 答案:
(a) ![Rendered by QuickLaTeX.com -3](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyOCIgaGVpZ2h0PSIxNiIgdmlld0JveD0iMCAwIDI4IDE2Ij48cmVjdCB3aWR0aD0iMTAwJSIgaGVpZ2h0PSIxMDAlIiBmaWxsPSIjZWFlYWVjIi8+PC9zdmc+)
(b)![Rendered by QuickLaTeX.com 2\frac{3}{4}](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyMiIgaGVpZ2h0PSIyOSIgdmlld0JveD0iMCAwIDIyIDI5Ij48cmVjdCB3aWR0aD0iMTAwJSIgaGVpZ2h0PSIxMDAlIiBmaWxsPSIjZWFlYWVjIi8+PC9zdmc+)
(c)![Rendered by QuickLaTeX.com -2](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyOCIgaGVpZ2h0PSIxNiIgdmlld0JveD0iMCAwIDI4IDE2Ij48cmVjdCB3aWR0aD0iMTAwJSIgaGVpZ2h0PSIxMDAlIiBmaWxsPSIjZWFlYWVjIi8+PC9zdmc+)
(d)![Rendered by QuickLaTeX.com \frac{1}{2}](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI5IiBoZWlnaHQ9IjI5IiB2aWV3Qm94PSIwIDAgOSAyOSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2VhZWFlYyIvPjwvc3ZnPg==)
(e)![Rendered by QuickLaTeX.com -1-\frac{2}{\sqrt3}](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI4MyIgaGVpZ2h0PSIzNCIgdmlld0JveD0iMCAwIDgzIDM0Ij48cmVjdCB3aWR0aD0iMTAwJSIgaGVpZ2h0PSIxMDAlIiBmaWxsPSIjZWFlYWVjIi8+PC9zdmc+)
![Rendered by QuickLaTeX.com -3](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-7e9572314fa875cd91192acc0b3f69ec_l3.png)
(b)
![Rendered by QuickLaTeX.com 2\frac{3}{4}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-96e9be2bb398183134698cbb9aeab465_l3.png)
(c)
![Rendered by QuickLaTeX.com -2](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-38c0b542113533e3509373d2d3f28388_l3.png)
(d)
![Rendered by QuickLaTeX.com \frac{1}{2}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-f5ac0f658c5eea95b9d59561e1d0ecab_l3.png)
(e)
![Rendered by QuickLaTeX.com -1-\frac{2}{\sqrt3}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-7b44aeae5b36e24135c80bf9b62aeee9_l3.png)