We have `x^(2) lt "sin" pi/2 x` Function `y="sin"pi/2x` has period `(2pi)/(pi//2)=4` Graphs of `y=x^(2)` and `y="sin" pi/2 x` are as shown in the following figure. Graphs of the functions intersect at two points (0, 0) and (1, 1) From the figure, `x^(2) lt "sin" pi/2 x` for `x in (0, 1)`
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For x in (0,(pi)/(2)) prove that "sin"^(2) x lt x^(2) lt " tan"^(2) x