预备微积分 · 免费预览
其他三角函数与恒等式
另外 $3$ 个三角函数是什么,它们与余弦、正弦、正切函数有什么关系?
1. Introduction
Introduction
2. Ratios in right triangles
Ratios in right triangles
3. Properties of the secant, cosecant, and cotangent functions
Properties of the secant, cosecant, and cotangent functions
4. Cosecant at pi over six
For a right triangle with hypotenuse 61 and one leg 11, what is the other leg?
5. Cosecant's signs and asymptotes
Where is cosecant positive, where does it have asymptotes, and what are its domain, range and period?
6. Cotangent at pi over four
Using cosine over sine, what is the exact value of cot(pi/4)?
7. Cotangent's domain, range and period
Which description of cotangent is correct?
8. Cosecant's range skips the middle interval
The range of the cosecant function excludes every value strictly between -1 and 1.
9. Cotangent repeats every pi
The cotangent function repeats its values every pi radians rather than every 2pi.