sin40.+sin80.=2sin60.cos20.

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sin40.+sin80.=2sin60.cos20.
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sin40.+sin80.=2sin60.cos20.
sin40.+sin80.=2sin60.cos20.

sin40.+sin80.=2sin60.cos20.
sin40+sin80
=sin(60-20)+sin(60+20)
=sin60cos20-sin20cos60+sin60cos20+sin20cos60
=2sin60cos20