问题
解答题
求下列各式的值: (1)sin
(2)1-sin2750°; (3)
(4)
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答案
(1)原式=
sin1 2
=π 6
;1 4
(2)∵sin750°=sin(2×360°+30°)=sin30°=
,1 2
∴原式=1-
=1 4
;3 4
(3)原式=tan300°=tan(360°-60°)=-tan60°=-
;3
(4)原式=
=cos10°-
sin10°3 sin10°cos10°
=2cos(60°+10°)
sin20°1 2
=2cos70°
sin(90°-70°)1 2
=4.2cos70°
cos70°1 2