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  • 12-05-2018
  • Mathematics
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If sin theta square root 2 over 2, which could not be the value of theta

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calculista
calculista calculista
  • 21-05-2018
the complete question in the attached figure

 we know that
sin 45°=√2/2
is positive
so the angle belong to the first or second quadrant 

if angle belong to the first quadrant
the angle ∅ will be
∅=45°
∅=360°+45----> ∅=405°

if angle belong to the second quadrant
the angle ∅ will be
∅=180°-45°----> ∅=135°

if ∅=225°-------> belong to the third quadrant
the value of sin 225° is negative
so

the answer is
the option A 225 degrees





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