题目内容
(1)化简:
+log2
(2)计算:tan70°cos10°(
tan20°-1)
| (log25)2-4log25+4 |
| 1 |
| 5 |
(2)计算:tan70°cos10°(
| 3 |
(1)∵
=log25-2,
∴原式=log25-2+log2
=-2+log2(5×
)=-2+log21=-2;
(2)原式=
•
=
•
=-
=-
=-2.
| (log25)2-4log25+4 |
∴原式=log25-2+log2
| 1 |
| 5 |
| 1 |
| 5 |
(2)原式=
| sin70°cos10° |
| cos70° |
| ||
| cos20° |
=
| sin70°cos10° |
| cos70° |
| 2sin(20°-30°) |
| cos20° |
=-
| 2sin70°sin20° |
| cos70°cos20° |
=-
| 2sin70°sin20° |
| sin20°sin70° |
=-2.
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