Question

tan theta upon sec theta -1 =tan theta + sec theta + 1 upon tan theta + sec theta - 1

Answer 1

We know that
Tan^2©=sec^2-1.........(identity)
tan©xtan©=(sec©+1)(sec©-1)
tan©\(sec©-1)=sec©+1\tan©

Therefore,
By theorem of equal ratios,

tan©\sec©-1=tan©+sec©+1\sec©-1+tan©.

(note-©=theta)