题目内容
已知θ∈(
,
),sin(θ-
)=
,则sinθ等于______.
| 3π |
| 4 |
| 5π |
| 4 |
| π |
| 4 |
| 5 |
| 13 |
∵θ∈(
,
),
∴θ-
∈(
,π),
∴cos(θ-
)=-
∴sinθ=sin[(θ-
)+
]
=sin(θ-
)cos
+cos(θ-
)sin
=
×
+(-
)×
=-
,
故答案为:-
| 3π |
| 4 |
| 5π |
| 4 |
∴θ-
| π |
| 4 |
| π |
| 2 |
∴cos(θ-
| π |
| 4 |
| 12 |
| 13 |
∴sinθ=sin[(θ-
| π |
| 4 |
| π |
| 4 |
=sin(θ-
| π |
| 4 |
| π |
| 4 |
| π |
| 4 |
| π |
| 4 |
=
| 5 |
| 13 |
| ||
| 2 |
| 12 |
| 13 |
| ||
| 2 |
=-
7
| ||
| 26 |
故答案为:-
7
| ||
| 26 |
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