(sec theta + cosec theta) (sin theta +cos theta) = 2 + sec theta cosec theta

Answer 1

LS = secØsinØ + secØcosØ + cscØsinØ + cscØcosØ
= secØsinØ + 1 + 1 + cscØcosØ , since both secØcosØ and cscØsinØ are equal to 1
= 2 + secØsinØ + cscØcosØ
= RS