beware of range
Algebra
Level
pending
Find range of [ |sinx|+|cosx| ] where [] is greatest integer function and || is modulus function
{0, 1, 2}
{1}
(2, infinity)
(-infinity, 2)
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I'll go logically, The sum of IsinxI+IcosxI never gets to 2 and wont exceed 2 as their maximums are 1 and they cant have 1's at the same angle, Considering x=45, the value will be [sq rt(2)=1.414], so it crosses 1, therefore, the greatest integer will be 1