calculus problem
Calculus
Level
2
f(x)=1+x(sinx)[cosx] 0<x<=90
where 0,x,90 are in degress. []denotes greatest integer function
has global maximum of 2
is strictly decreasing in (0,90)
is strictly increasing in(0,90)
is continuous in (0,90)
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X does belongs to interval (0,90]. If we substitute for the value of X in function,
[cosx] is always equal to zero so product sinx.[cosx] will always be zero
So function becomes constant function.