Q.

The total number of solutions of sinx=cosx (where .denotes the fractional part) in 0, 2π is equal to _____

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answer is 6.

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Detailed Solution

sinx=cosx   in0,2π tan x=1 x=π4, 1+π4, 2+π4, 3+π4, 4+π4, 5+π4.

No. of solutions are 6

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