计算下列各式的值.(1)cos60°-sin245°+34tan230°+cos230°-sin30°(2)tan60°-sin60°+tan45°-12(cos30°+tan45°).-数学

题目简介

计算下列各式的值.(1)cos60°-sin245°+34tan230°+cos230°-sin30°(2)tan60°-sin60°+tan45°-12(cos30°+tan45°).-数学

题目详情

计算下列各式的值.
(1)cos60°-sin2 45°+
3
4
tan2 30°+cos2 30°-sin30°
(2)tan60°-sin60°+tan45°-
1
2(cos30°+tan45°)
题型:解答题难度:中档来源:不详

答案

(1)cos60°-sin2 45°+class="stub"3
4
tan2 30°+cos2 30°-sin30°
=class="stub"1
2
-(
2
2
)2+class="stub"3
4
×(
3
3
)2 +(
3
2
)2-class="stub"1
2

=class="stub"1
2
-class="stub"1
2
+class="stub"1
4
+class="stub"3
4
-class="stub"1
2

=class="stub"1
2


(2)tan60°-sin60°+tan45°-class="stub"1
2(cos30°+tan45°)

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

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

=
3
3
-2
2

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