How do you simplify and write the trigonometric expression in terms of sine and cosine: for #cosxsecx/tanu=f(x)#?

Question

19281 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-10T16:52:13

#color(blue)(cosx/sinx)#

Identities:

#color(red)bb(secx=1/cosx)#

#color(red)bb(tanx=sinx/cosx)#

Substituting these in given expression:

#cosx(1/cosx)/(sinx/cosx)#

Multiply by #cosx#

#cosx(cosx1/cosx)/(cosxsinx/cosx)#

#cosx1/sinx=color(blue)(cosx/sinx)#