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正弦函数与余弦函数(续)

正弦函数与余弦函数是什么?它们如何由一个点沿单位圆运动而产生?

1. Using computing technology

Using computing technology

2. Summary

Summary

3. Coordinate from the unit circle

A point in Quadrant III on the unit circle has cos(t) = -0.7. What is sin(t), to five decimal places?

4. Sine of two radians

What is sin(2) radians, to five decimal places?

5. Average rates of sine near zero

Sine's average rates are about 0.988 on [0.1, 0.2] and about 0.660 on [0.8, 0.9]. What does that comparison show?

6. Reducing angles without a calculator

Using periodicity and the unit circle, what is the exact value of sin(-11pi/4)?

7. Testing proposed identities

Which of the following proposed trigonometric identities is actually true for every t?

8. The average rate of sine is largest near pi over two

The average rate of change of sin(t) is larger near t = pi/2 than near t = 0.

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