R.O.C of trig functions

  • #1

Homework Statement



Determine the average rate of change of the function y = 2cos (x - pi/3) + 1 for the following internal:
pi/2 < x < 5pi/4


Homework Equations


AROC = [ f(x2) - f(x1) ] / x2) - x1


The Attempt at a Solution



For an approx. value, I would set the calculator in radian mode and just plug everything into the equation, right?
Where I'm stuck is how to get an EXACT answer.
 

Answers and Replies

  • #2
196
0
If you're trying to find the average rate of change, I'm assuming that the interval would be pi/2 and 5pi/4 and those would be your x1 and x2 values.

To get an exact answer have to evaluate y at both your x1 and x2 values then fill out the slope equation:

{[2cos (5pi/4 - pi/3) + 1]*[2cos (pi/2 - pi/3) + 1]}/(5pi/4-pi/2)

Hope this helps
 

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