数学卷五一(2):sin23°×cos37°+cos23°×sin37°=( ).求详解,

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数学卷五一(2):sin23°×cos37°+cos23°×sin37°=( ).求详解,
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数学卷五一(2):sin23°×cos37°+cos23°×sin37°=( ).求详解,
数学卷五一(2):sin23°×cos37°+cos23°×sin37°=( ).求详解,

数学卷五一(2):sin23°×cos37°+cos23°×sin37°=( ).求详解,
sin23°×cos37°+cos23°×sin37°
=sin(23°+37°)
=sin60°
=√3/2
利用公式
sin(a+b)=sinacosb+cosbsina

sin(23+37)
=sin60
=二分之一跟三

sin23°×cos37°+cos23°×sin37°
=sin(23°+37°)
=sin60°
=√3/2

=sin(23°+37°)
=sin60°
=√3/2