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![[Post New]](/templates/default/images/icon_minipost_new.gif) 22 Mar 2007 21:52:35 IST
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The range of cosine function is [-1,1]
So min value for cos (cos x) will be either for cos (-1) or for cos 1
But -1 is in 4th quadrant where cos is increasing while 1 is in 1st quadrant where cos is decreasing function.
-1 <=cos x<= 1
Lets split this in two parts:
(i) -1 <= cos x (4th quadrant)
implies cos (-1) <= cos (cos x)
implies cos 1 <= cos (cos x).......................(1)
(ii) cos x <= 1 (1st quadrant)
implies cos (cos x) >= cos 1.......................(2)
Thus the minimum value is cos 1
Rate me if i m correct......
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