About Lesson
2.4 Inverse Trigonometric Function Equations 反三角函数方程式
Solve the following equations
截下列各方程式
1.
Answer :
1
2. ![Rendered by QuickLaTeX.com tan^{-1}x + tan^{-1}(1 - x) = 2tan^{-1}\sqrt{x-x^2}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-e280784dabe1148c6ee741ef00a6a5a5_l3.png)
![Rendered by QuickLaTeX.com tan^{-1}x + tan^{-1}(1 - x) = 2tan^{-1}\sqrt{x-x^2}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-e280784dabe1148c6ee741ef00a6a5a5_l3.png)
Answer :
![Rendered by QuickLaTeX.com \frac{1}{2}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-f5ac0f658c5eea95b9d59561e1d0ecab_l3.png)
3. ![Rendered by QuickLaTeX.com sin^{-1}x = cos^{-1} (1 - x)](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-6bf0c91747c7585607999d352150dbc3_l3.png)
![Rendered by QuickLaTeX.com sin^{-1}x = cos^{-1} (1 - x)](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-6bf0c91747c7585607999d352150dbc3_l3.png)
Answer :
0, 1
4. ![Rendered by QuickLaTeX.com sin^{-1}x + sin^{-1}2x = \frac{\pi}{3}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-15115d3df195a41cd48d473fa3f72004_l3.png)
![Rendered by QuickLaTeX.com sin^{-1}x + sin^{-1}2x = \frac{\pi}{3}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-15115d3df195a41cd48d473fa3f72004_l3.png)
Answer :
![Rendered by QuickLaTeX.com \sqrt{\frac{3}{28}}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-71feae0255acc45a3f1f3a4a48b1620e_l3.png)
5. ![Rendered by QuickLaTeX.com 2sin^{-1}x = sin^{-1}2x - cos^{-1}x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-bf5a241e8cb3244c8c55081ec0e06830_l3.png)
![Rendered by QuickLaTeX.com 2sin^{-1}x = sin^{-1}2x - cos^{-1}x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-bf5a241e8cb3244c8c55081ec0e06830_l3.png)
Answer :
无解
6. ![Rendered by QuickLaTeX.com {tan}^{-1}{x}+2{cot}^{-1}{x}=\frac{3\pi}{4}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-e568f830129b364cf979d4ab4f33664d_l3.png)
![Rendered by QuickLaTeX.com {tan}^{-1}{x}+2{cot}^{-1}{x}=\frac{3\pi}{4}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-e568f830129b364cf979d4ab4f33664d_l3.png)
Answer :
1