问题 填空题
计算
1
sin50°
+
3
cos50°
=______.
答案

1
sin50°
+
3
cos50°

=

cos50°+
3
sin50°
sin50°cos50°

=

2(
1
2
cos50°+ 
3
2
sin50°)
sin50°cos50°

=

2(sin30°cos50°+  cos30°sin50°)
sin50°cos50°

=

2sin(30°+50°)
sin50°cos50°
=
2sin80°
sin50°cos50°

=

2sin80°
1
2
sin100°

=

2sin80°
1
2
sin80°

=4

故答案为4

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