tan46°等于多少,不要网上流传的,那看不懂,用微分算,

tan46°=tan(45°+1°)
≈tan45°+(tanx)'|(x=45°)×1°
=1+sec²45°×π/180
=1+2×π/180
=1+π/90
≈1+3.14/90
=1.03488.看不懂，求解微分公式是：Δy=f(x0+Δx)-f(x0)=f'(x0)Δx本题x0=45°Δx=1°=π/180f(x)=tanxf'(x)=sec²x所以tan46°=tan(45°+1°)≈tan45°+sec²45°×1°=1+2×π/180=1+π/90≈1+3.14/90=1.03488.....