sin20°cos70°+sin10°sin50°的值是(  ) A.14 B.32 C.12 D.34

问题描述:

sin20°cos70°+sin10°sin50°的值是(  )
A.

1
4

B.
3
2

C.
1
2

D.
3
4

原式=

1
2
[sin90°−sin50°]−
1
2
[cos60°−cos40°]
=
1
2
− 
1
2
sin50°−
1
2
×
1
2
+
1
2
cos40°

=
1
4

故选A