How do you simplify $\frac{1 + sin y}{1 + csc y}$ $(1+sin y)/( 1+csc y)$ ?

Question

10892 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-02T02:27:34

$sin y$ $siny$

$\frac{1 + sin y}{1 + csc y}$ $(1+siny)/(1+cscy)$

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

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

$= (1 + sin y) \cdot (\frac{sin y}{sin y + 1})$ $=(1+siny)*(siny/(siny+1))$

$=color(red)cancelcolor(black)(1+siny)*(siny)/color(red)cancelcolor(black)(siny+1)$

$=siny$

How do you simplify (1+sin y)/( 1+csc y)1+siny1+cscy(1+sin y)/( 1+csc y)?