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If A+B=90^0, prove that sqrt((tanAtanB+t...

If `A+B=90^0,` prove that `sqrt((tanAtanB+tanAcotB)/(sinAsecB)-(sin^2B)/(cos^2A))=tanA`

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Given that, `A+B=(90)^0`
`B=(90)^0−A`
Now,
`tanB=tan((90)^0−A)=cotA`
`secB=sec((90)^0−A)=cosecA`
`sinB=sin((90)^0−A)=cosA` ...
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