根号6倍的sin15°+根号2倍的cos15°=什么
问题描述：
根号6倍的sin15°+根号2倍的cos15°=什么
答
根号6倍的sin15°+根号2倍的cos15°
=2√2(√3/2sin15°+1/2cos15°)
=2√2(cos30°sin15°+sin30°cos15°)
=2√2sin(15°+30°)
=2√2sin45°
=2√2*√2/2
=2
答
√6sin15°+√2cos15°
=2√2[(√3/2)sin15°+(1/2)cos15°]
=2√2(cos30°sin15°+sin30°cos15°)
=2√2sin(15°+30°)
=2√2sin45°
=2√2(√2/2)
=2