问题 解答题
求下 * * 角函数值
(1)sin(-1380°)cos1110°+cos(-1020°)sin750°;
(2)2sin
4
-cos4π+tan(-
π
4
).
答案

(1)sin(-1380°)cos1110°+cos(-1020°)sin750°

=sin(-360°×4+60°)cos(3×360°+30°)+cos(-3×360°+60°)sin(2×360°+30°)

=sin60°cos30°+cos60°sin30°

=sin(60°+30°)

=sin90°

=1;

(2)2sin

4
-cos4π+tan(-
π
4

=2sin(π+

π
4
)-cos4π-tan
π
4

=-2sin

π
4
-1-1

=-

2
-2.

单项选择题 A1型题
判断题