( 1+ cot A - cosec A) ( 1+ tan A + sec A) =2
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Step-by-step explanation:
by multiplying we get
1 + cotA - cosecA + tanA + cotAtanA - cosecAtanA + secA + cotAsecA - cosecAsecA
= 1 + cotA - cosecA + tanA + 1 - secA + secA + cosecA - cosecAsecA
= 2 + cotA + tanA - cosecAsecA
( cotA + tanA = cosA/sinA + sinA/cosA
= cos²A + sin²A / sinA•cosA
= 1/sinAcosA
= cosecAsecA)
= 2 + cosecAsecA - cosecAsecA
= 2
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