How do you simplify $sin (\frac{π}{3})$ $sin(pi/3)$ ?

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Answer 1 · 2018-03-17T01:29:38

$sin (\frac{π}{3}) = sin 60 = \frac{\sqrt{3}}{2} = 0.866$ $color(red)(sin (pi / 3) = sin 60 = sqrt3 / 2 = 0.866$

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To find value of $sin (\frac{π}{3})$ $sin (pi/3)$

$sin (\frac{π}{3}) = {sin 60}^{\circ}$ $sin (pi/3) = sin 60^@$

From the table above,

$sin (\frac{π}{3}) = sin 60 = \frac{\sqrt{3}}{2} = 0.866$ $color(red)(sin (pi / 3) = sin 60 = sqrt3 / 2 = 0.866$

It's a special right triangle having angles 30, 60 & 90.

The sides will be in the ratio $1 : \sqrt{3} : 2$ $1 : sqrt3 : 2$ as seen from the below triangle.

enter image source here

How do you simplify sin(pi/3)sin(π3)sin(pi/3)?