(cosecA+1).(1-sinA)=cosA.cotA
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Step-by-step explanation:
(cosecA + 1)(1 - sinA) = cosA.cotA
L.H.S
(cosecA + 1)(1 - sinA)
= (1/sinA +1)(1 - sinA)
= (1 + sinA/sinA)(1 - sinA)
= (1)² - (sinA)²/sinA
= (1 - sin²A)/sinA
= cos²A/sinA
= cosA.cosA / sinA
= cotA.cosA
= cosA.cotA
= R.H.S
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