SOLUTION: Please explain Evaluate the expression without using a calculator: {{{ (sin (pi/4) cos (pi/6) - sin (pi/6) cos (pi/4))^2 }}} THANKS

SOLUTION: Please explain Evaluate the expression without using a calculator: {{{ (sin (pi/4) cos (pi/6) - sin (pi/6) cos (pi/4))^2 }}} THANKS

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Question 929033: Please explain
Evaluate the expression without using a calculator:

THANKS
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!

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rearrange terms:

Identity: sin(x-y)=sinxcosy-cosxsiny)

(sin (pi/4)cos(pi/6)-sin(pi/6)cos(pi/4))^2=sin^2(π/12)
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