Question

How do you simplify the expression `(1+cosy)/(1+secy)`?

Answer 1

`cosy`

Explanation:

Recalling that `secy=1/cosy,` we can rewrite as

`(1+cosy)/(1+1/cosy)`

Adding up the denominator yields

`(1+cosy)/((1+cosy)/cosy)=cancel(1+cosy)*cosy/cancel(1+cosy)=cosy`