nilai eksak fungsi trigonometri untuk sudut istimewa

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NILAI EKSAK FUNGSI TRIGONOMETRI UNTUK SUDUT ISTIMEWA SUDUT SIN α° COS α° TAN α° CTG α° SEC α° COSEC α° 0 ° 0 0 1 0 ~ 1 ~ 15° π 12 1 4 ( 62 ) 1 4 ( 6+ 2) 2-√3 2+√3 √6-√2 √6+√2 30° π 6 1 2 1 2 3 1 3 3 √3 2 3 3 2 45° π 4 1 2 2 1 2 2 1 1 √2 √2 60° π 3 1 2 3 1 2 √3 1 3 3 2 2 3 3 75° 5 π 12 1 4 ( 6+ 2) 1 4 ( 62 ) 2+√3 2-√3 √6+√2 √6-√2 90° π 2 1 0 ~ 0 ~ 1 105° 7 π 12 1 4 ( 6+ 2) 1 4 ( 62 ) -(2+√3) -(2-√3) -(√6+√2) √6-√2 120° 2 π 3 1 2 3 1 2 -√3 1 3 3 -2 2 3 3 135° 3 π 4 1 2 2 1 2 2 -1 -1 -√2 √2 150° 5 π 6 1 2 1 2 3 1 3 3 -√3 2 3 3 2 165° 11 π 12 1 4 ( 62 ) 1 4 ( 6+ 2 ) -(2-√3) -(2+√3) -(√6-√2) √6+√2 180° π 0 -1 0 ~ -1 ~ 195° 13 π 12 1 4 ( 62 ) 1 4 ( 6+ 2 ) 2-√3 2+√3 -(√6-√2) -(√6+√2) 210° 7 π 6 1 2 1 2 3 1 3 3 √3 2 3 3 -2 225° 5 π 4 1 2 2 1 2 2 1 1 -√2 -√2 240° 4 π 3 1 2 3 1 2 √3 1 3 3 -2 2 3 3 255° 17 π 12 1 4 ( 6+ 2 ) 1 4 ( 62 ) 2+√3 2-√3 -(√6+√2) -(√6-√2) 270° 3 π 2 -1 0 ~ 0 ~ -1 285° 19 π 12 1 4 ( 6+ 2 ) 1 4 ( 62 ) -(2+√3) -(2-√3) √6+√2 -(√6-√2)

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Nilai Eksak Fungsi Trigonometri Untuk Sudut Istimewa yang saya buat sendiri

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Page 1: Nilai Eksak Fungsi Trigonometri Untuk Sudut Istimewa

NILAI EKSAK FUNGSI TRIGONOMETRI UNTUK SUDUT ISTIMEWA

SUDUT SIN α° COS α° TAN α° CTG α° SEC α° COSEC α°

0 ° 0 0 1 0 ~ 1 ~

15° π12

14

(√6−√2 ) 14

(√6+√2 ) 2-√3 2+√3 √6-√2 √6+√2

30° π6

12

12√3

13√ 3

√3 23√ 3

2

45° π4

12√ 2

12√ 2

1 1 √2 √2

60° π3

12√3

12

√3 13√ 3

2 23√ 3

75° 5π12

14

(√6+√2 ) 14

(√6−√2 ) 2+√3 2-√3 √6+√2 √6-√2

90° π2

1 0 ~ 0 ~ 1

105° 7π12

14

(√6+√2 ) −14

(√6−√2 ) -(2+√3) -(2-√3) -(√6+√2) √6-√2

120° 2π3

12√3

−12

-√3 −13√ 3

-2 23√ 3

135° 3π4

12√ 2

−12√ 2

-1 -1 -√2 √2

150° 5π6

12

−12√ 3

−13√ 3

-√3 −23√ 3

2

165° 11π12

14

(√6−√2 ) −14

(√6+√2 ) -(2-√3) -(2+√3) -(√6-√2) √6+√2

180° π 0 -1 0 ~ -1 ~

195° 13π12

−14

(√6−√2 ) −14

(√6+√2 ) 2-√3 2+√3 -(√6-√2) -(√6+√2)

210° 7π6

−12

−12√ 3

13√ 3

√3 −23√ 3

-2

225° 5π4

−12√ 2

−12√ 2

1 1 -√2 -√2

240° 4 π3

−12√ 3

−12

√3 13√ 3

-2 −23√ 3

255° 17π12

−14

(√6+√2 ) −14

(√6−√2 ) 2+√3 2-√3 -(√6+√2) -(√6-√2)

270° 3π2

-1 0 ~ 0 ~ -1

285° 19π12

−14

(√6+√2 ) 14

(√6−√2 ) -(2+√3) -(2-√3) √6+√2 -(√6-√2)

300° 5π3

−12√ 3

12

-√3 −13√ 3

2 −23√ 3

315° 7π4

−12√ 2

12√ 2

-1 -1 √2 -√2

330° 11π6

−12

12√3

−13√ 3

-√3 23√ 3

-2

Page 2: Nilai Eksak Fungsi Trigonometri Untuk Sudut Istimewa

345° 23π12

−14

(√6−√2 ) 14

(√6+√2 ) -(2-√3) -(2+√3) √6-√2 -(√6+√2)

360° 2π 0 1 0 ~ 1 ~