求值:sin26π3+cos(−17π4)=_.

问题描述:

求值:sin

26π
3
+cos(−
17π
4
)=______.

∵sin

26π
3
+cos(-
17π
4

=sin(9π-
π
3
)+cos(4π+
π
4

=-sin(π+
π
3
)+cos
π
4

=sin
π
3
+cos
π
4

=
3
+
2
2

故答案为:
3
+
2
2