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求角

我们如何用反三角函数求出直角三角形中未知的角?

1. Introduction

Introduction

2. Evaluating inverse trigonometric functions

Evaluating inverse trigonometric functions

3. Finding angles in applied contexts

Finding angles in applied contexts

4. Summary

Summary

5. Hypotenuse from two legs

A right triangle has legs 11 and 13. What is its hypotenuse, to two decimal places?

6. Angle from an opposite leg

A right triangle has an opposite leg 1 and hypotenuse 3. What is the angle opposite that leg, to three decimal places?

7. Angle from cosine in the third quadrant

An angle in standard position has cos(alpha) = -1/2 and lies in Quadrant III. What is alpha?

8. Angle of elevation to a balloon

A balloon is 200 feet high and observed from 850 feet away. What is the angle of elevation?

9. Inverse trigonometric functions return angles

An inverse trigonometric function takes a ratio and returns an angle.

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