show that the function fx = -x/2 + sinx is strictly increasing on (-pi/3,pi/3)?

Dear student,
f(x) = -x2+sin xf'(x) = -12+cos xfor  strictly increasing f'(x)>0 for all xthencosx>12  ....1eq1 is true for x(-π3,π3)  proved   f(x) = -x2+sin x  is strictly increasing for x(-π3,π3) 

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