2.4 Inverse Trigonometric Function Equations 反三角函数方程式 - 独中课程 | 线上补习

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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. $tan^{-1}x = cot^{-1}x$

2. $tan^{-1}x + tan^{-1}(1 - x) = 2tan^{-1}\sqrt{x-x^2}$

$\frac{1}{2}$

3. $sin^{-1}x = cos^{-1} (1 - x)$

0, 1

4. $sin^{-1}x + sin^{-1}2x = \frac{\pi}{3}$

$\sqrt{\frac{3}{28}}$

5. $2sin^{-1}x = sin^{-1}2x - cos^{-1}x$

无解

6. ${tan}^{-1}{x}+2{cot}^{-1}{x}=\frac{3\pi}{4}$

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