Question

计算arcsin0.5002的近似值

请给出步骤和答案,拜谢

Answer 1

设f(x)=arcsinx,x0=0.5,Δx=0.002,f(x0+Δx)≈f(x0)+f/(x0)Δx f/(x)=1/√1-x^2f(0.5)=arcsin0.5=π/6 f/(0.5)*0.002=0.002309f(0.5002)≈3.14/6+0.002309=0.5232309是微分的近似计算

Answer 2

0.52383 计算器算得