sec[arcsin(3784/3785)]的答案
设:arcsin(3784/3785)为α
arcsin(3784/3785)=α
∴sinα=3784/3785
∴ cosα
=√﹙1-sin²α﹚
=√[1-﹙3784/3785﹚²]
=√[﹙1+3784/3785﹚×﹙1-3784/3785﹚]
=√﹙7569/3785×1/3785﹚
=√[﹙3×29﹚²/3785²]
=87/3785
secα
=1/cosα
=1/﹙87/3785﹚
=3785/87
≈43.5057
∴sec【arcsin(3784/3785)】=3785/87 ≈43.5057
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