SOLUTION: Evaluate the expression without using a calculator (sin pi/6 cos pi/4 - sin pi/4 cos pi/6)2

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Question 645729: Evaluate the expression without using a calculator
(sin pi/6 cos pi/4 - sin pi/4 cos pi/6)2
Answer by lwsshak3(11628) About Me  (Show Source):
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Evaluate the expression without using a calculator
(sin pi/6 cos pi/4 - sin pi/4 cos pi/6)^2
=(1/2*√2/2-√2/2*√3/2)^2
=(√2/4-√6/4)^2
=2/16-2√12/16+6/16
=1/8-√12/8+3/8
=4/8-√12/8
=(4-√12)/8