计算:cos15°+sin15°cos15°-sin15°=______.-数学

题目简介

计算:cos15°+sin15°cos15°-sin15°=______.-数学

题目详情

计算:
cos15°+sin15°
cos15°-sin15°
=______.
题型:填空题难度:中档来源:不详

答案

class="stub"cos15°+sin15°
cos15°-sin15°

=
(sin15°+cos15°)2
(cos15°-sin15°)(cos15°+sin15°)

=class="stub"1+2sin15°cos15°
cos215°-sin215°

=class="stub"1+sin30°
cos30°

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

=
3

故答案为:
3

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