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

InterviewSolution

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