题目内容
计算:①已知tanA=
,求sinA,cosA.②cos45°•tan45°+
tan30°-2cos60°•sin45°.
| 4 |
| 3 |
| 3 |
①∵tanA=
,∴
=
,
设a=4x,b=3x,则c=5x,
∴sinA=
=
=
,
cosA=
=
=
;
②原式=
×1+
×
-2×
×
=
+1-
=1.
| 4 |
| 3 |
| a |
| b |
| 4 |
| 3 |
设a=4x,b=3x,则c=5x,
∴sinA=
| a |
| c |
| 4x |
| 5x |
| 4 |
| 5 |
cosA=
| b |
| c |
| 3x |
| 5x |
| 3 |
| 5 |
②原式=
| ||
| 2 |
| 3 |
| ||
| 3 |
| 1 |
| 2 |
| ||
| 2 |
=
| ||
| 2 |
| ||
| 2 |
=1.
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