求sin65°×cos20°-sin65°×sin20°等於多少?

求sin65°×cos20°-sin65°×sin20°等於多少?

sin65°×cos20°-sin65°×sin20°
=sin65°(cos20°-sin20°)
=sqrt(2)sin65°(cos45°cos20°-sin45°sin20°)
=sqrt(2)sin65°cos65°
=sqrt(2)/2sin130°
=sqrt(2)/2sin50°