Question #aadaa Trigonometry Trigonometric Identities and Equations Proving Identities 1 Answer Bdub Nov 8, 2016 see below Explanation: #(cscx+secx)/(sinx+cosx)=cscx/cosx# Left Side: #=(cscx+secx)/(sinx+cosx)# #=(1/sinx+1/cosx)/(sinx+cosx)# #=((cosx+sinx)/(sinxcosx))/(sinx+cosx)# #=cancel (cosx+sinx)/(sinxcosx) * 1/cancel(sinx+cosx)# #=1/(sinxcosx)# #=1/sinx*1/cosx# #=cscx*1/cosx# #=cscx/cosx# #:. = #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 1245 views around the world You can reuse this answer Creative Commons License