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三角函数的反函数

一个未能通过水平线检验的周期函数,是否可能拥有反函数?

1. Introduction

Introduction

2. The arccosine function

The arccosine function

3. The arcsine function

The arcsine function

4. Arccosine values

What are arccos(1/2), arccos(sqrt(2)/2) and arccos(sqrt(3)/2)?

5. Arccosine in the second quadrant

What is the principal value of arccos(-1/2), in radians?

6. Composing cosine with arccosine

What are cos(arccos(-1/2)) and arccos(cos(7pi/6))?

7. Arcsine domain and values

What are arcsine's domain and range, and what is arcsin(sqrt(3)/2)?

8. Arccosine's range is the first two quadrants

The arccosine function returns values only between 0 and pi.

9. Arccosine of one half

What is arccos(1/2), in radians as a multiple of pi? Enter the coefficient, e.g. "1/3" for pi/3.

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