Ringkasan Trigonometri

Trigonometri adalah nilai perbandingan yang dapat didefinisikan pada koordinat Carteris atau pada segitiga siku-siku.
Sudut istimewa:
a
00
300
450
600
900
1200
1350
1500
1800
Sin a
0
½
½ √2
½ √3
1
½ √3
½ √2
½
0
cos a
1
½ √3
½ √2
½
0
-½ √2
-½ √3
-1
tan a
0
1/3 √3
1
√3
-√3
-1
1/3 √3
0
a
2100
2250
2400
2700
3000
3150
3300
360
sin a
-½ √2
-½ √3
-1
-½ √3
-½ √2
0
cos a
-½ √3
-½ √2
0
½
½ √2
½ √3
1
tan a
1/3 √3
1
√3
-√3
-1
1/3 √3
0

 

Rumus-rumus identitas Trigonometri:

tan a = sin a
           cos a
sin2a + cos2a = 1
cot a = cosa
            sin a
sec a = 1
          cosa
tan2 a + 1 = sec2a
cot a + 1 = cosec2a
cosec a = 1
              sin a
Rumus Penjumlahan pada Trigonometri:
sin a + sin b = 2 sin ½ (a + b) cos ½ (a – b)
sin a – sin b = 2 cos ½ (a + b) sin ½ (a – b)
cos a + cos b = 2 cos ½ (a + b) cos ½ (a – b)
cos a – cos b = -2 sin ½ (a + b) sin ½ (a – b)
Rumus Perkalian pada Trigonometri:
2 sin a cos b = sin (a + b) + sin (a – b)
2 cos a sin b = sin (a + b) – sin (a – b)
2 cos a cos b = cos (a + b) + cos (a – b)
-2 sin a cos b = cos (a + b) – cos (a – b)

Posted on January 16, 2013, in Matematika. Bookmark the permalink. Leave a comment.

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