sin29°tan46°的近似值.本人数学小白,

问题描述:

sin29°tan46°的近似值.本人数学小白,

sin29 接近于sin30=1/2
tan46 接近于tan45=1能否用全积分做下题在点(p,q)处由二元微分得 sinxtany≈sinptanq+cosptanq(x-P)+[sinP/(cosq)^2](y-q). 令P=π/6,q=π/4,x-p=-π/180,y-q=π/180,则 sin(29度)tan(46度) ≈sin(π/6)tan(π/6)tan(π/4)+cos(π/6)tan(π/4)(-π/180)+sin(π/6)/[(cosπ/4)^2](π/180) ≈o.502.谢谢(>^ω^