3tan30°×cos30°+tan45°+sin30°-sin60°求解要过程

问题描述:

3tan30°×cos30°+tan45°+sin30°-sin60°求解要过程

3tan30°×cos30°+tan45°+sin30°-sin60°
=3/根3 x 根3 /2 + 1 + 1/2 - 根3 /2
= 3/2 + 1 + (1-根3)/2
= (3+2+1- 根3)/2
= (6-根3)/2

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tan30=3分之根号下3,cos30=2分之根号下3.tan45=1.sin30=2分之1.sin60=2分之根号下3.带入,得出答案,为3-2分之根号下3

特殊角三角函数计算问题:
3tan30°×cos30°+tan45°+sin30°-sin60°
=3x√3/3 x √3/2 +1 + 1/2 -√3/2
=(6-√3)/2

3tan30°×cos30°+tan45°+sin30°-sin60°
= 3*(√3/3)*(√3/2)+ 1 + 1/2 - √3/2
= 3/2 + 1 + 1/2 -√3/2
= 3 - √3/2