sin A tan A
cos? A+1
1-cos A 1+cos A
1+cos A sin A.cos A
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Answer:
L.H.S. = cos A/1 – tanA + sin A/1 – cot A
= cos A/1 – sin A/cos A + sin A/1 – cos A/sin A
= cos A/(cos A – sin A)/cosA + sin A/(sin A – cos A)/sin A
= cos2 A/cos A – sinA + sin2 A/sinA – cos A
= cos2 A – sin2A/(cos A – sin A)
= (cos A + sin A)(cos A – sin A)/(cos A – sin A)
= cos A + sin A
= R.H.S.
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