2sin60°+4cos45°+3tan30°等于?

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2sin60°+4cos45°+3tan30°等于?
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2sin60°+4cos45°+3tan30°等于?
2sin60°+4cos45°+3tan30°等于?

2sin60°+4cos45°+3tan30°等于?
sin60°=根号3/2
cos45°=根号2/2
tan30°=根号3/3
2sin60°+4cos45°+3tan30°=2*根号3/2+4*根号2/2+3*根号3/3
=根号3+2*根号2+根号3=2*根号3+2*根号2


2sin60°+4cos45°+3tan30°
=2×[(√3)/2)]+4×[(√2)/2]+3×(1/3)
=√3+2√2+1
≈5.56047793

2sin60°+4cos45°+3tan30°=2×√3/2+4×√2/2+3×√3/3=2√3+2√2

郭敦顒回答:
2sin60°+4cos45°+3tan30°=2×0.8660+4×0.7071+3×0.57735
=1.7320+2.8284+1.7321=6.2925。

 sin60=√3/2,cos45=sin45=√2/2,tan30=√3/3
所以可以得出2×√3/2+4×√2/2+3×√3/3=√3+2√2+√3=2√3+2√2