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三角函數間的關係

製作人 : 李躍進. 三角函數間的關係. 製作人 : 李躍進. 製作日期 :2001/8/2. (3) 平方關係 :. 三角函數的關係式. (i) sin 2 A+cos 2 A=1. (1) 倒數關係 :. 三角函數間的關係式. (i). sinA=a/c. cscA=c/a. ⇒ sinA ·cscA=1. B. (ii) 1+tan 2 A=sec 2 A. (ii). cosA=b/c. secA=c/b. ⇒ cosA ·secA=1. c. a. (iii) 1+cot 2 A=csc 2 A. (iii).

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三角函數間的關係

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  1. 製作人: 李躍進 三角函數間的關係 製作人: 李躍進 製作日期:2001/8/2 (3) 平方關係: 三角函數的關係式 (i) sin2A+cos2A=1 (1) 倒數關係: 三角函數間的關係式 (i) sinA=a/c cscA=c/a ⇒ sinA·cscA=1 B (ii) 1+tan2A=sec2A (ii) cosA=b/c secA=c/b ⇒ cosA·secA=1 c a (iii) 1+cot2A=csc2A (iii) tanA=a/b cotA=b/a ⇒ tanA·cotA=1 A C 製作人:李躍進 b (4) 餘角關係: (2) 商數關係: (i) sin(900 – A)=cosA=b/c (ii) cos(900 – A)=sinA=a/c (i) sinA/cosA=tanA (ii) cosA/sinA=cotA B 製作日期:2001/8/2 (iii) tan(900 – A)=cotA=b/a (iv) cot(900 – A)=tanA=a/b (iii) tanA/secA=sinA (iv) secA/tanA=cscA c a (v)secA(900– A)=cscA=c/a (vi) csc(900 – A)=secA=c/b (v) cotA/cscA=cosA (vi) cscA/cotA=secA b A C

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