题目内容
求值:sin330°+cos| 5π |
| 3 |
| 4π |
| 3 |
| π |
| 3 |
分析:根据诱导公式将每项的值计算,再求最后结果.
解答:解:原式=sin(360°-30°)+cos(2π-
)-tan(180°+45°)+cosπ+sin(π+
)+tan
=sin(-30°)+cos(-
)-tan(45°)+cosπ-sin(
)+tan
=-
+
-1+(-1)-
+
=-2+
故答案为:-2+
| π |
| 3 |
| π |
| 3 |
| π |
| 3 |
=sin(-30°)+cos(-
| π |
| 3 |
| π |
| 3 |
| π |
| 3 |
=-
| 1 |
| 2 |
| 1 |
| 2 |
| ||
| 2 |
| 3 |
=-2+
| ||
| 2 |
故答案为:-2+
| ||
| 2 |
点评:本题考查诱导公式及特殊角的三角函数求值运算,是基础题.
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