问题
填空题
方程sin(x+
|
答案
若程sin(x+
)=π 6
cos(x+3
)π 6
即tan(x+
)=π 6 3
∵tan
=π 3 3
∴x+
=π 6
+kπ,k∈Zπ 3
∴x=kπ+
,k∈Zπ 6
故方程sin(x+
)=π 6
cos(x+3
)的解集为:{x|x=kπ+π 6
,k∈Z}π 6
故答案为:{x|x=kπ+
,k∈Z}π 6
方程sin(x+
|
若程sin(x+
)=π 6
cos(x+3
)π 6
即tan(x+
)=π 6 3
∵tan
=π 3 3
∴x+
=π 6
+kπ,k∈Zπ 3
∴x=kπ+
,k∈Zπ 6
故方程sin(x+
)=π 6
cos(x+3
)的解集为:{x|x=kπ+π 6
,k∈Z}π 6
故答案为:{x|x=kπ+
,k∈Z}π 6