How do you multiply and simplify $cos y sin y (sec y + csc y)$ $cosysiny(secy+cscy)$ ?

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Answer 1 · 2016-10-09T20:19:46

This expression simplifies to $sin y + cos y$ $siny + cosy$ .

$= cos y sin y (\frac{1}{cos y} + \frac{1}{sin y})$ $=cosysiny(1/cosy + 1/siny)$

$= cos y sin y (\frac{sin y}{cos y sin y} + \frac{cos y}{cos y sin y})$ $=cosysiny(siny/(cosysiny) + cosy/(cosysiny))$

$= cos y sin y (\frac{sin y + cos y}{cos y sin y})$ $=cosysiny((siny + cosy)/(cosysiny))$

$= sin y + cos y$ $=siny + cosy$

Hopefully this helps!

How do you multiply and simplify cosysiny(secy+cscy)cosysiny(secy+cscy)?