Question 1191433
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{{{(5pi)/12}}} = {{{5*(180/12)}}} degrees = = 5*15 degrees = 75 degrees.


{{{sin(75^o)}}}  is found in the lesson  

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Trigonometry-basics/Calculating-trigonometric-functions-of-angles.lesson>Calculating trigonometric functions of angles</A>


in this site.


It uses the formula  75° = 45° + 30°  and the formula of adding arguments for sine.