题目内容
设角θ的终边经过点(3,-4),则cos(θ+
)的值等于( )
| π |
| 4 |
A.
| B.-
| C.
| D.-
|
∵角θ的终边经过点(3,-4),
∴sinθ=
=-
,cosθ=
,
∴cos(θ+
)
=cosθcos
-sinθsin
=
×
-(-
)×
=
.
故选C.
∴sinθ=
| -4 | ||
|
| 4 |
| 5 |
| 3 |
| 5 |
∴cos(θ+
| π |
| 4 |
=cosθcos
| π |
| 4 |
| π |
| 4 |
=
| 3 |
| 5 |
| ||
| 2 |
| 4 |
| 5 |
| ||
| 2 |
=
7
| ||
| 10 |
故选C.
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