问题
填空题
已知sin(
|
答案
∵sin(
-α)=π 4
,∴cos(1 3
+α)=sin[π 4
-(π 2
+α)]=sin(π 4
-α)=π 4
.1 3
∴
=(1-cos2α)cos(
+α)π 4 (1+cos2α)•tan2α
=2sin2α× 1 3 2cos2α•tan2α
×1 3
=sin2α sin2α
.1 3
故答案为
.1 3
已知sin(
|
∵sin(
-α)=π 4
,∴cos(1 3
+α)=sin[π 4
-(π 2
+α)]=sin(π 4
-α)=π 4
.1 3
∴
=(1-cos2α)cos(
+α)π 4 (1+cos2α)•tan2α
=2sin2α× 1 3 2cos2α•tan2α
×1 3
=sin2α sin2α
.1 3
故答案为
.1 3