Mean Value Theorem: for any real numbers a, b |cos a-cos b| < |a-b|

[tnigsnevin]

hello! how would i go about using the Mean Value Theorem to show that for any real numbers a, b |cos a-cos b| < |a-b|

 

[stapel]

How would I go about using the Mean Value Theorem to show that, for any real numbers a and b, we have |cos a-cos b| < |a-b| ?

What does your book give as its statement of the Mean Value Theorem? How have you attempted to apply that information to this exercise?

Please be complete. Thank you!