题目内容
已知sin(70°+α)=
,则cos(2α-40°)=______.
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∵sin(70°+α)=
,∴cos(20°-α)=
.
∴cos(2α-40°)=2cos2(α-20°)-1=2×(
)2-1=-
.
故答案为-
.
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∴cos(2α-40°)=2cos2(α-20°)-1=2×(
| 1 |
| 3 |
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| 9 |
故答案为-
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| 9 |
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