题目内容
同角三角函数之间的关系:tanA=
,cotA=
,tanA•cotA=______,sin2A+cos2A=______.
| sinA |
| cosA |
| cosA |
| sinA |
(1)∵tanA=
,cotA=
,
∴tanA•cotA=
•
=1;
(2)∵sinA=
,cosA=
,a2+b2=c2,
∴sin2A+cos2A=
+
=
=
=1.
| sinA |
| cosA |
| cosA |
| sinA |
∴tanA•cotA=
| sinα |
| cosα |
| cosα |
| sinα |
(2)∵sinA=
| a |
| c |
| b |
| c |
∴sin2A+cos2A=
| a2 |
| c2 |
| b2 |
| c2 |
| a2+b2 |
| c2 |
| c2 |
| c2 |
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