1+sina-cosa /1+Sina+cosa
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Step-by-step explanation:
1+sinA-cosA/1+sinA+cosA
devide SinA in both numerator & denominator
=cosecA+1-cotA/cosecA+1+cotA
={(cosecA-cotA)+1}(cosecA+cotA)/ (cosecA+cotA+1)(cosecA+cotA)
=cosec²A-cot²A+cosecA+cotA/ (cosecA+cotA+1)(cosecA+cotA)
=1+cosecA+cotA/ (cosecA+cotA+1)
(cosecA+cotA)
=cosecA+cotA
=1/sinA+cosA/sinA
=1+cosA/sinA
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