Question #05ce8

2 Answers
P dilip_k
Mar 29, 2017

#LHS=(sin x + cos x) / (sec x + csc x )#

#=(sin x + cos x) / (1/cos x + 1/sinx )#

#=(sin x + cos x) / ((sinx+cosx)/(cos x sinx )#

#=(sin x + cos x) / (sinx+cosx)*(cos x sinx )/1#

#= sin x / sec x=RHS #

Verified

P dilip_k
Mar 29, 2017

#LHS=(sin x + cos x) / (sec x + csc x )#

#=(sin x + cos x) / (1/cos x + 1/sinx )#

#=(sin x + cos x) / ((sinx+cosx)/(cos x sinx )#

#=(sin x + cos x) / (sinx+cosx)*(cos x sinx )/1#

#= sin x / sec x=RHS #

Verified

Related questions
See all questions in Proving Identities
Impact of this question
896 views around the world
You can reuse this answer
Creative Commons License