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

1 Answer
Apr 10, 2018

color(blue)(cosx/sinx)

Explanation:

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)