7
The values of sin, cos, tan, cot at the angles of 0°, 30°, 60°, 90°, 120°, 135°, 150°, 180°, 210°, 225°, 240°, 270°, 300°, 315°, 330°, 360° αoα o 0 o 0 o 3 0o 30 o 4 5o 45 o 6 0o 60 o 9 0o 90 o 12 0o1 20o 13 5o1 35o 15 0o1 50o 18 0o1 80o 21 0o2 10o 22 5o2 25o 24 0o2 40o 27 0o2 70o 30 0o3 00o 31 5o3 15o 33 0o3 30o 36 0o3 60o αr ad αra d 0 0 π6 π6 π4 π4 π3 π3 π2 π2 2π 33 3π 44 5π 66 ππ 7π 66 5π 44 4π 33 3π 22 5π 33 7π 44 11 π61 1π6 2π sin αsi 0 0 1 21 2 2 22 2 3 23 2 11 3√ 232 2√ 222 12 12 00 −1 2−1 2 −2 √2 −22 −3 √2 −32 −1 −1 −3 √2 −32 −2 √2 −22 −1 2−1 2 00 cos αco 1 1 3 23 2 2 22 2 1 21 2 00 −1 2−1 2 −2 √2 −22 −3 √2 −32 −1 −1 −3 √2 −32 −2 √2 −22 −1 2−1 2 00 12 12 2√ 222 3√ 232 11 tan αta 0 0 3 33 3 11 3 3 −3 −3 −1 −1 −3 √3 −33 00 3√ 333 11 3√ 3 −3 −3 −1 −1 −3 √333 00 cot αco 3 3 11 3 33 3 00 −3 √3 −33 −1 −1 −3 −3 3√ 3 11 3√ 333 00 −3 √3 −33 −1 −1 −3 −3 Angl e Sine Cosin e Tangen t 0 1 0

Trigonometry

Embed Size (px)

DESCRIPTION

All Formulae

Citation preview

Page 1: Trigonometry

The values of sin, cos, tan, cot at the angles of 0°, 30°, 60°, 90°, 120°, 135°, 150°, 180°, 210°, 225°, 240°, 270°, 300°, 315°, 330°, 360°

αoαo

0o0o

30o30o

45o45o

60o60o

90o90o

120o120o

135o135o

150o150o

180o180o

210o210o

225o225o

240o240o

270o270o

300o300o

315o315o

330o330o

360o360o

αradαrad

00

π6π6

π4π4

π3π3

π2π2

2π32π3

3π43π4

5π65π6

ππ7π67π6

5π45π4

4π34π3

3π23π2

5π35π3

7π47π4

11π611π6

2π2π

sinαsinα

00

1212

2√222

3√232

113√232

2√222

1212

00−12−12

−2√2−22

−3√2−32

−1−1

−3√2−32

−2√2−22

−12−12

00

cosαcosα

11

3√232

2√222

1212

00−12−12

−2√2−22

−3√2−32

−1−1

−3√2−32

−2√2−22

−12−12

001212

2√222

3√232

11

tanαtanα

00

3√333

113√3

−−

−3√−3

−1−1

−3√3−33

003√333

113√3

−−−3√−3

−1−1

−3√3−33

00

cotαcotα

−−

3√3

11

3√333

00−3√3−33

−1−1

−3√−3

−−3√3

113√333

00−3√3−33

−1−1

−3√−3

Angle Sine Cosine Tangent0° 0 1 01° 0.01745 0.99985 0.017462° 0.03490 0.99939 0.034923° 0.05234 0.99863 0.052414° 0.06976 0.99756 0.069935° 0.08716 0.99619 0.087496° 0.10453 0.99452 0.105107° 0.12187 0.99255 0.122788° 0.13917 0.99027 0.14054

Page 2: Trigonometry

9° 0.15643 0.98769 0.1583810° 0.17365 0.98481 0.1763311° 0.19081 0.98163 0.1943812° 0.20791 0.97815 0.2125613° 0.22495 0.97437 0.2308714° 0.24192 0.97030 0.2493315° 0.25882 0.96593 0.26795Angle Sine Cosine Tangent16° 0.27564 0.96126 0.2867517° 0.29237 0.95630 0.3057318° 0.30902 0.95106 0.3249219° 0.32557 0.94552 0.3443320° 0.34202 0.93969 0.3639721° 0.35837 0.93358 0.3838622° 0.37461 0.92718 0.4040323° 0.39073 0.92050 0.4244724° 0.40674 0.91355 0.4452325° 0.42262 0.90631 0.4663126° 0.43837 0.89879 0.4877327° 0.45399 0.89101 0.5095328° 0.46947 0.88295 0.5317129° 0.48481 0.87462 0.55431

30°0.5 or 0.86603 or 0.57735 or

Angle Sine Cosine Tangent31° 0.51504 0.85717 0.6008632° 0.52992 0.84805 0.6248733° 0.54464 0.83867 0.6494134° 0.55919 0.82904 0.6745135° 0.57358 0.81915 0.7002136° 0.58779 0.80902 0.7265437° 0.60182 0.79864 0.7535538° 0.61566 0.78801 0.7812939° 0.62932 0.77715 0.8097840° 0.64279 0.76604 0.8391041° 0.65606 0.75471 0.8692942° 0.66913 0.74314 0.9004043° 0.68200 0.73135 0.9325244° 0.69466 0.71934 0.96569

45°0.70711 or 0.70711 or

1

Page 3: Trigonometry

Angle Sine Cosine Tangent46° 0.71934 0.69466 1.0355347° 0.73135 0.68200 1.0723748° 0.74314 0.66913 1.1106149° 0.75471 0.65606 1.1503750° 0.76604 0.64279 1.1917551° 0.77715 0.62932 1.2349052° 0.78801 0.61566 1.2799453° 0.79864 0.60182 1.3270454° 0.80902 0.58779 1.3763855° 0.81915 0.57358 1.4281556° 0.82904 0.55919 1.4825657° 0.83867 0.54464 1.5398658° 0.84805 0.52992 1.6003359° 0.85717 0.51504 1.66428

60°0.86603 or 0.5 or 1.73205 or

Angle Sine Cosine Tangent61° 0.87462 0.48481 1.8040562° 0.88295 0.46947 1.8807363° 0.89101 0.45399 1.9626164° 0.89879 0.43837 2.0503065° 0.90631 0.42262 2.1445166° 0.91355 0.40674 2.2460467° 0.92050 0.39073 2.3558568° 0.92718 0.37461 2.4750969° 0.93358 0.35837 2.6050970° 0.93969 0.34202 2.7474871° 0.94552 0.32557 2.9042172° 0.95106 0.30902 3.0776873° 0.95630 0.29237 3.2708574° 0.96126 0.27564 3.4874175° 0.96593 0.25882 3.73205Angle Sine Cosine Tangent76° 0.97030 0.24192 4.0107877° 0.97437 0.22495 4.3314878° 0.97815 0.20791 4.7046379° 0.98163 0.19081 5.1445580° 0.98481 0.17365 5.6712881° 0.98769 0.15643 6.3137582° 0.99027 0.13917 7.11537

Page 4: Trigonometry

83° 0.99255 0.12187 8.1443584° 0.99452 0.10453 9.5143685° 0.99619 0.08716 11.4300586° 0.99756 0.06976 14.3006787° 0.99863 0.05234 19.0811488° 0.99939 0.03490 28.6362589° 0.99985 0.01745 57.2899690° 1 0 Undefined