What does the inverse of a cos function look like?
H hannaboox3 New member Joined Sep 4, 2010 Messages 2 Sep 8, 2010 #1 What does the inverse of a cos function look like?
B BigGlenntheHeavy Senior Member Joined Mar 8, 2009 Messages 1,577 Sep 8, 2010 #2 \(\displaystyle cos \ function \ hasn't \ any \ inverse \ as \ it \ isn't \ 1-to-1.\) \(\displaystyle However, \ if \ we \ restrict \ cos(x) \ to \ 0 \ \le \ x \ \le \ \pi, now \ since \ cos(x) \ is\) \(\displaystyle monotonic, \ it \ has \ an \ inverse: \ see \ graph.\) [attachment=0:3smghxfe]bbb.jpg[/attachment:3smghxfe]
\(\displaystyle cos \ function \ hasn't \ any \ inverse \ as \ it \ isn't \ 1-to-1.\) \(\displaystyle However, \ if \ we \ restrict \ cos(x) \ to \ 0 \ \le \ x \ \le \ \pi, now \ since \ cos(x) \ is\) \(\displaystyle monotonic, \ it \ has \ an \ inverse: \ see \ graph.\) [attachment=0:3smghxfe]bbb.jpg[/attachment:3smghxfe]
