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Home > PC3 > Chapter 8 > Lesson 8.3.4 > Problem 8-144

8-144.
  1. Let f(x) = sin(x). Homework Help ✎

    1. Calculate the average rate of change from x = to x = .

    2. Write an expression for the average rate of change from x = to x = + h.

    3. Use the fact that sin(A + B) = sin(A)cos(B) + cos(A)sin(B) to show that the expression you wrote in part (b) can be rewritten as .

    4. Use the fact that and to evaluate .

Substitute values for the trigonometric expressions and simplify.