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Cosine Law
餘弦定理

本式可求已知兩邊之三角形之對邊或夾角

<COMP>
Lbl 1 : ? → M : ? → A : ? → B ? → C :
A ² + B ² → X : 2 A B → Y : M => Goto 0 :
√ ( X – Y cos C → C ◢ Goto 1 :
Lbl 0 : cos-1 ( Y -1 ( X – C ² → C
65 Bytes

操作方法

一般操作 例子
(A triangle with sides a,b,c the and an included angle theta.)
求c的值		 (A triangle with an unknown side. The other two are 8cm and 3cm. An included angle with 45* is placed opposite the unknown side.)
求c的值
啟動程式 按 Prog 1
輸入模式
0 EXE
(以角求邊) 		[M?] 0 EXE
輸入變數
a EXE b EXE θ EXE		 8 EXE 3 EXE 45 EXE
顯示答案
c		 6.249709954
 
(A triangle with sides a,b,c the and an included angle beta.)
求β的值		 (A triangle with three sides 3,7 and 8 cm. The unknown angle beta is opposite the 7 cm-side)
求β的值
啟動程式 按 Prog 1
輸入模式
1 EXE
(以邊求角) 		[M?] 1 EXE
輸入變數
a EXE b EXE c EXE		 8 EXE 3 EXE 7 EXE
顯示答案
β		 60

記憶體

A a
B b
C c or β
D  
X a²+b²
Y 2ab
M Mode

相關程式

  1. Heron’s Formula / 三邊求三角形面積