求值:sin330°+cos5π3-tan225°+cos7π+sin4π3+tanπ3=______.-数学

题目简介

求值:sin330°+cos5π3-tan225°+cos7π+sin4π3+tanπ3=______.-数学

题目详情

求值:sin330°+cos
3
-tan225°+cos7π+sin
3
+tan
π
3
=______.
题型:填空题难度:中档来源:不详

答案

原式=sin(360°-30°)+cos(2π-class="stub"π
3
)-tan(180°+45°)+cosπ+sin(π+class="stub"π
3
)+tanclass="stub"π
3

=sin(-30°)+cos(-class="stub"π
3
)-tan(45°)+cosπ-sin(class="stub"π
3
)+tanclass="stub"π
3

=-class="stub"1
2
+class="stub"1
2
-1+(-1)-
3
2
+
3

=-2+
3
2

故答案为:-2+
3
2

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