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# Trigonometric Functions Exercises

### Example 1

What is the largest the slope of f(x) = sin(x) ever gets? The smallest?

### Example 2

What is the largest the slope of f(x) = cos(x) ever gets? The smallest?

### Example 3

Let f(x) = -sin(x). Based on the discussion in this section, what is a reasonable formula for f ' (x)?

### Example 4

Let f(x) = -cos(x). Based on the discussion in this section, what is a reasonable formula for f ' (x)?

### Example 5

Find the derivative of the function. Be sure to use correct notation.

• f(x) = sin(x)

### Example 6

Find the derivative of the function. Be sure to use correct notation.

• g(z) = cos(z)

### Example 7

Find the derivative of the function. Be sure to use correct notation.

• h(y) = -sin(y)

### Example 8

Find the derivative of the function. Be sure to use correct notation.

• r(k) = -cos(k)