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If A+B=90 then prove that sqrt((tanAtanB...

If `A+B=90` then prove that `sqrt((tanAtanB+tanAcotB)/(sinAsecB))=secA`

Text Solution

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`tan(90-A)=cotA`
`tan B= cotA`
`sinB=cosA`
`cosecB=secA`
`tanA=cotB`
`sinA=cosB`
`coseccA=secB`
LHS
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