How do you verify sin x csc (pi/2 - x)= tan x? Trigonometry Trigonometric Identities and Equations Proving Identities 1 Answer Bdub May 2, 2016 see below Explanation: Left Side=sinx csc(pi/2 -x) =sinx xx 1/sin(pi/2 -x) =sinx xx 1/(sin(pi/2) cos x - cos (pi/2) sinx) =sinx xx 1/(1* cosx-0*sinx =sinx xx 1/cos x =sinx/cosx =tanx =Right Side Answer link Related questions What does it mean to prove a trigonometric identity? How do you prove \csc \theta \times \tan \theta = \sec \theta? 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)? See all questions in Proving Identities Impact of this question 5457 views around the world You can reuse this answer Creative Commons License