问题
填空题
已知sin(x+
|
答案
∵sin(x+
)=π 6
,1 4
∴sin(
-x)+cos2(5π 6
-x)π 3
=sin[π-(x+
)]+cos2[π 6
-(x+π 2
)]π 6
=sin(x+
)+sin2(x+π 6
)π 6
=
+1 4 1 16
=5 16
故答案为:5 16
已知sin(x+
|
∵sin(x+
)=π 6
,1 4
∴sin(
-x)+cos2(5π 6
-x)π 3
=sin[π-(x+
)]+cos2[π 6
-(x+π 2
)]π 6
=sin(x+
)+sin2(x+π 6
)π 6
=
+1 4 1 16
=5 16
故答案为:5 16