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

Dec 2, 2015

$siny$

$(1+siny)/(1+cscy)$

$=(1+siny)/(1+1/siny)$

$=(1+siny)/((siny+1)/siny)$

$=(1+siny)*(siny/(siny+1))$

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

$=siny$

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