Perbandingan sudut-berelasi-trigonometri
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Transcript of Perbandingan sudut-berelasi-trigonometri
![Page 1: Perbandingan sudut-berelasi-trigonometri](https://reader036.fdokumen.com/reader036/viewer/2022082416/5565426fd8b42ad7648b4f01/html5/thumbnails/1.jpg)
Perbandingan trigonometri sudut-sudut berelasi
SMA Kelas X
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Indikator : Menentukan nilaiperbandingan trigonometridari sudut-sudut berelasi
![Page 3: Perbandingan sudut-berelasi-trigonometri](https://reader036.fdokumen.com/reader036/viewer/2022082416/5565426fd8b42ad7648b4f01/html5/thumbnails/3.jpg)
Tujuan pembelajaran :Siswa dapat menentukan nilaiperbandingan trigonometridari sudut-sudut berelasi
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Pernahkah anda mencoba mengukur tinggi pohon yang ada disekitar rumahmu? Atau pernahkah anda terpikirkan untuk mencoba mengukur tinggi dinding rumah anda sendiri? Lantas bagaimana caranya? Adakah cara yang lebih efektif untuk dilakukan?
Pendahuluan
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Apa manfaat trigonometri??
klinometer
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Perbandingan Trigonometri
αA
B
C
ac
b
Sin α ?Cos α ?Tan α ?Cot α ?Sec α ?Cosec α ?
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ß 0° 30° 45° 60° 90°
Sin ß
Cos ß
Tan ß
Sudut – Sudut Istimewa
2
1
32
1
33
1
2
1
32
1
22
1
22
1
3
45°
45°
60°
30°
1
1
21
2
3
0
1
0
0
1
1
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Sudut Pada Berbagai Kuadran
Kuadran I
SEMUA (+)
Kuadran II
SIN (+)
Kuadran IV
COS (+)
Kuadran III
TAN (+)
0°
90°
180°
270°
/ 360°
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perbandingan trigonometri sudut-sudut berelasi
Secara umum, sudut-sudut berelasi dapat didefinisikan sebagai berikut.
Misalkan suatu sudut besarnya α°, sudut lain yang besarnya (90°-α) dikatakan berelasi dengan sudut α dan sebaliknya.Sudut-sudut lain yang berelasi dengan sudut α adalah sudut-sudut yang besarnya (90° - α°), (180° ± α°), (270° ± α°), (360° ± α°), dan (α°)
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Perbandingan trigonometri untuk sudut (90° - α°)
a)Sin (90° - α°) = cos α°b)Cos (90° - α°) = sin α°c)Tan (90° - α°) = cot α°d)Cot (90° - α°) = tan α°e)Sec(90° - α°) = cosec α°f) Cosec (90° - α°) = sec α°
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Perbandingan trigonometri untuk sudut (90° + α°)
a)Sin (90° + α°) = cos α°b)Cos (90° + α°) = -sin α°c)Tan (90° + α°) = -cot α°d)Cot (90° + α°) = -tan α°e)Sec(90° + α°) = -cosec α°f) Cosec (90° + α°) = sec α°
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Perbandingan trigonometri untuk sudut (180° - α°)
a)Sin (180° - α°) = sin α°b)Cos (180° - α°) = -cos α°c)Tan (180° - α°) = -tan α°d)Cot (180° - α°) = -cot α°e)Sec(180° - α°) = -sec α°f) Cosec (180° - α°) = cosec α°
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Perbandingan trigonometri untuk sudut (180° + α°)
a)Sin (180° + α°) = -sin α°b)Cos (180° + α°) = -cos α°c)Tan (180° + α°) = tan α°d)Cot (180° + α°) = cot α°e)Sec(180° + α°) = -sec α°f) Cosec (180° + α°) = -cosec
α°
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Perbandingan trigonometri untuk sudut (360° - α°)
a)Sin (360° - α°) = -sin α°b)Cos (360° - α°) = cos α°c)Tan (360° - α°) = -tan α°d)Cot (360° - α°) = -cot α°e)Sec(360° - α°) = sec α°f) Cosec (360° - α°) = -cosec
α°
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Perbandingan trigonometri untuk sudut (- α°)
a)Sin (- α°) = -sin α°b)Cos (- α°) = cos α°c)Tan (- α°) = -tan α°d)Cot (- α°) = -cot α°e)Sec(- α°) = sec α°f) Cosec (- α°) = -cosec α°
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Perbandingan trigonometri untuk sudut (n.360° - α°)
a)Sin (n.360° - α°) = -sin α°b)Cos (n.360° - α°) = cos α°c)Tan (n.360° - α°) = -tan α°d)Cot (n.360° - α°) = -cot α°e)Sec(n.360° - α°) = sec α°f) Cosec (n.360° - α°) = -cosec
α°
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Perbandingan trigonometri untuk sudut (n.360° + α°)
a)Sin (n.360° + α°) = sin α°b)Cos (n.360° + α°) = cos α°c)Tan (n.360° + α°) = tan α°d)Cot (n.360° + α°) = cot α°e)Sec(n.360° + α°) = sec α°f) Cosec (n.360° + α°) = cosec
α°