What is the exact value of $sin 60 - cos 60$ ?

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Answer 1 · 2015-06-24T09:16:42

$sin(60°)-cos(60°)=(sqrt3-1)/2$

The exact values of $cos(60°)$ and $sin(60°)$ are:
$cos(60°)=cos(pi/3)=1/2$
$sin(60°)=sin(pi/3)=sqrt3/2$

$rarr sin(60°)-cos(60°)=sqrt3/2-1/2=(sqrt3-1)/2$

What is the exact value of sin 60 - cos 60sin 60 - cos 60?