Find the value of tan(55°-A)-cot(35°+A)
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Tan(55-A)-cot(35+A)
=sin(55-A)/cos(55-A) - cos (35+A)/sin(35+A)
=[sin(55-A)sin(35+A)-(cos(35+A)cos(55-A)]/cos(55-A)sin(35+A)
=-cos[(55-A)+(35+A)]/cos(55-A)sin(35+A)
=-cos90/cos(55-A)sin(35+A)
=0 since cos90 =0
=sin(55-A)/cos(55-A) - cos (35+A)/sin(35+A)
=[sin(55-A)sin(35+A)-(cos(35+A)cos(55-A)]/cos(55-A)sin(35+A)
=-cos[(55-A)+(35+A)]/cos(55-A)sin(35+A)
=-cos90/cos(55-A)sin(35+A)
=0 since cos90 =0
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