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其他三角函数与恒等式(续)

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. A few important identities

A few important identities

2. Summary

Summary

3. Sine's average rate expression

Using the sum identity, sin(a + h) expands to sin(a)cos(h) + cos(a)sin(h). If a = 0, what is the coefficient of sin(h)/h in the average rate expression?

4. The two limit terms

As h approaches 0, what do (cos h - 1)/h and (sin h)/h approach?

5. Five functions from one cosine

An angle in Quadrant II has cos(beta) = -12/13. What are sin(beta) and tan(beta)?

6. Transforming secant

For f(t) = 5 sec(t - pi/2) + 3, what are the period, asymptote locations and range?

7. The derivative of sine is cosine

Letting h approach zero in sine's average rate of change leaves cos(a), so the instantaneous rate of sine at a is cos(a).

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