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

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Answer 1 · 2018-04-06T03:21:15

$cosy$

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

$(1+cosy)/(1+1/cosy)$

Adding up the denominator yields

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

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