已知sin(π4+α)=32,则sin(3π4-α)值为______.-数学

题目简介

已知sin(π4+α)=32,则sin(3π4-α)值为______.-数学

题目详情

已知sin(
π
4
+α)=
3
2
,则sin(
4
-α)
值为______.
题型:填空题难度:中档来源:不详

答案

(class="stub"π
4
+α )
+(class="stub"3π
4
-α )
=π,sin(π-α)=sinα,
∴sin(class="stub"3π
4
-α )
=sin(π-(class="stub"π
4
+α )
)=sin(class="stub"π
4
+α )

sin(class="stub"π
4
+α)=
3
2

sin(class="stub"3π
4
-α)
=
3
2

故答案为:
3
2

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