计算1sin50°+3cos50°

问题描述:

计算
1
sin50°
+
3
cos50°
1个回答 分类:数学 2014-09-19

问题解答:

我来补答
1
sin50°+

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

3
2sin50°)
sin50°cos50°
=
2(sin30°cos50°+  cos30°sin50°)
sin50°cos50°
=
2sin(30°+50°)
sin50°cos50°=
2sin80°
sin50°cos50°
=
2sin80°

1
2sin100°
=
2sin80°

1
2sin80°
=4
故答案为4
 
 
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