How do you prove \csc \theta \times \tan \theta = \sec \theta? Trigonometry Trigonometric Identities and Equations Proving Identities 1 Answer Wataru Nov 23, 2014 Remember: csc theta=1/{sin theta}, " "tan theta={sin theta}/{cos theta}, " "sec theta=1/{cos theta} Proof csc theta times tan theta=1/sin theta times {sin theta}/{cos theta}= 1/{cos theta}=sec theta I hope that this was helpful. Answer link Related questions What does it mean to prove a trigonometric identity? How do you prove (1-\cos^2 x)(1+\cot^2 x) = 1? How do you show that 2 \sin x \cos x = \sin 2x? is true for (5pi)/6? How do you prove that sec xcot x = csc x? How do you prove that cos 2x(1 + tan 2x) = 1? How do you prove that (2sinx)/[secx(cos4x-sin4x)]=tan2x? How do you verify the identity: -cotx =(sin3x+sinx)/(cos3x-cosx)? How do you prove that (tanx+cosx)/(1+sinx)=secx? How do you prove the identity (sinx - cosx)/(sinx + cosx) = (2sin^2x-1)/(1+2sinxcosx)? How do you prove the identity tan^2x/(secx+1)= (1-cosx)/cosx? See all questions in Proving Identities Impact of this question 27149 views around the world You can reuse this answer Creative Commons License