Question

Prove that: (5) cot theta + tan theta = cosec theta sec theta
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Answer 1

hope this answer will be helpful

Answer 2

cot Ø + tan Ø = cos Ø/sin Ø + sin Ø/cos Ø

= (cos^2 Ø + sin^2 Ø)/cos Ø sin Ø

= 1/cos Ø × 1/sin Ø

= sec Ø . cosec Ø

Identity used:- cos^2 Ø + sin^2 Ø = 1