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3cos15°+sin15°的值等于22.

题目详情
3
cos15°+sin15°的值等于
2
2
3
cos15°+sin15°的值等于
2
2
3
3
3
2
2
2
2
2
2
2
2
2
2
▼优质解答
答案和解析
3
cos15°+sin15°=2(
3
2
sin15°+
1
2
cos15°)=2(sin15°cos30°+cos15°sin30°)
=2sin(15°+30°)=2sin45°=2×
2
2
=
2

故答案为:
2
3
3
33cos15°+sin15°=2(
3
2
sin15°+
1
2
cos15°)=2(sin15°cos30°+cos15°sin30°)
=2sin(15°+30°)=2sin45°=2×
2
2
=
2

故答案为:
2
3
2
3
3
3
3
33222sin15°+
1
2
cos15°)=2(sin15°cos30°+cos15°sin30°)
=2sin(15°+30°)=2sin45°=2×
2
2
=
2

故答案为:
2
1
2
111222cos15°)=2(sin15°cos30°+cos15°sin30°)
=2sin(15°+30°)=2sin45°=2×
2
2
=
2

故答案为:
2
2
2
2
2
2
2
22222=
2

故答案为:
2
2
2
22.
故答案为:
2
2
2
22.