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Range of the function $f(x)=\cos^{-1}(-\{x\})$, where {.} is fractional part function is: |
$(\frac{π}{2},π)$ $(\frac{π}{2},π]$ $[\frac{π}{2},π)$ $(0,\frac{π}{2}]$ |
$[\frac{π}{2},π)$ |
$y=\cos^{-1}(-\{x\})$ As {x} ∈ [0, 1) $⇒\frac{π}{2}≤\cos^{-1}(-\{x\})<π$ $⇒y∈[\frac{π}{2},π)$ |
