Question

Prove identity: (sec x/csc x) + (sin x/cos x)=(2/cot x)

Answer 1

One way to deal with identities is to convert every term to sin and cos:

(sec x/csc x) + (sin x/cos x)
=(1/cos (x))÷ (1/sin(x)) + sin(x)/cos(x)
=sin(x)/cos(x)+sin(x)/cos(x)
=2tan(x)
=2/cot(x)