题目内容
在△ABC中,a=1,b=3,A=2B,则cosB=______.
根据正弦定理得:
=
,
由A=2B,a=1,b=
,代入化简得:
=
即cosB=
=
.
故答案为:
| a |
| sinA |
| b |
| sinB |
由A=2B,a=1,b=
| 3 |
| 1 |
| 2sinBcosB |
| ||
| sinB |
| 1 | ||
2
|
| ||
| 6 |
故答案为:
| ||
| 6 |
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题目内容
| a |
| sinA |
| b |
| sinB |
| 3 |
| 1 |
| 2sinBcosB |
| ||
| sinB |
| 1 | ||
2
|
| ||
| 6 |
| ||
| 6 |