# For all x in [0,90] show that cos(sinx)>sin(cosx)I understood the solution given in my book which said Cosx +sinxBut thenCosxThen take sin and cos both sides resp we get two different opposite answers.Please explain to me where I I have gone wrong.

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
8 years ago
Ans:
Hello Student,

I am assuming you meant 90 to be pi/2.
For




sinx will take the value from 0 to 1 in increasing order.


cosx will take the value from 1 to 0.

You can draw the graph of sinx & cosx, it is clearly seen that
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