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若a=(cos60°,sin60°),b=(cos15°,sin15°),则a•b=.

题目详情
a
=(cos60°,sin60°),
b
=(cos15°,sin15°),则
a
b
=______.
a
aa
b
=(cos15°,sin15°),则
a
b
=______.
b
bb
a
b
=______.
a
aa
b
=______.
b
bb
▼优质解答
答案和解析
a
=(cos60°,sin60°),
b
=(cos15°,sin15°),
a
b
=cos60°cos15°+sin60°sin15°=cos(60°-15°)=cos45°=
2
2

故答案为:
2
2
a
aaa=(cos60°,sin60°),
b
=(cos15°,sin15°),
a
b
=cos60°cos15°+sin60°sin15°=cos(60°-15°)=cos45°=
2
2

故答案为:
2
2
b
bbb=(cos15°,sin15°),
a
b
=cos60°cos15°+sin60°sin15°=cos(60°-15°)=cos45°=
2
2

故答案为:
2
2
a
aaa•
b
=cos60°cos15°+sin60°sin15°=cos(60°-15°)=cos45°=
2
2

故答案为:
2
2
b
bbb=cos60°cos15°+sin60°sin15°=cos(60°-15°)=cos45°=
2
2

故答案为:
2
2
2
2
2
2
2
2
22222.
故答案为:
2
2
2
2
2
2
2
2
22222.