Question

How do you convert all of the terms to sines and cosines and simplify to find the expression that completes the identity: tanx/secx?

Answer 1

Have a look if it helps:

Explanation:

Write:
`tan(x)=sin(x)/cos(x)`
and
`sec(x)=1/cos(x)`
You'll get:
`tan(x)/sec(x)=(sin(x)/cos(x))/(1/cos(x))`

`tan(x)/sec(x)=sin(x)/cancel(cos(x))*cancel(cos(x))=sin(x)`