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`sqrt((1+cos30)/(1-cos30))=sec60+tan60`

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`sqrt((1+cos30)/(1-cos30))=sec60+tan60`
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`(1+cos30)/(1-cos30)=(1+cos30)^2/(1-cos^30)`
`=(1+cos30)^2/sin^30`
LHS=`sqrt((1+cos30)^2/sin^230)=(1+cos30)/sin30`
`=cosec30+cot30`
`=sec(90-30)+tan(90-30)`
`=sec60+tan60=RHS`.
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