Find the maximum value of |
1 + −
|.
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1−sinxcosx=(cos2x2+sin2x2)−(2sinx2cosx2)(cos2x2−sin2x2)
=(cosx2−sinx2)2cos2x2−sin2x2=cosx2−sinx2cosx2+sinx2
=1−tanx21+tanx2=tanπ4−tanx21+tanπ4tanx2
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