Math, asked by biswajitdeyone, 9 months ago

cosec (A+B ) = cosecA cosecB /
cotA+ cotB

Answers

Answered by prajapatiankitdnk14
1

Answer:

(cosecA.cosecB + cotA.cotB)square - (cosecA.cotB + cosecB.cotA) square

= cosec^2A.cosec^2B + cot^2A.cot^2B + 2cosecA.cosecB.cotA.cotB

-- cosec^2A.cot^2B -- cosec^2B.cot^2A -- 2cosecA.cotB.cosecB.cotA

= cosec^2A.cosec^2B + cot^2A.cot^2B -- cosec^2A.cot^2B -- cosec^2B.cot^2A --

= cosec^2A [cosec^2B -- cot^2B] -- cot^2A [cosec^2B -- cot^2B]

= cosec^2A -- cot^2A

= 1 ANSWER

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