15 (x) = cos 2* + sinx, where [:) =...
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15 (x) = cos 2* + sinx, where [:) = COS denotes the greatest integer function, then which of the following is not correct (A)f(0) = 1 (B);(6- 13+1 (D)f(1) = 0

JEE/Engineering Exams
Maths
Solution
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( f(x)=cos left[frac{pi^{2}}{2}right] x+sin left[frac{-pi^{2}}{2}right] x ) ( =cos 4 x-sin 5 x ) ( f(0)=1 ) ( f(pi)=1-0 Rightarrow f(pi)=1 ) ( (pi) )
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