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# Table of trigonometrical functions.

Table of trigonometrical functions are the counted values of sine, cosine, tangent and cotangent of angles noted in the table from 0° to 360°. Using a table of trigonometrical functions you can make calculations even if not at hand will be the scientific calculator. To find the value of trigonometrical functions is sufficient to find the value in the table.

## Table of trigonometrical functions for angles from 0° to 90°

 α sin α cos α tan α cot α 0° 0 1 0 ∞ 1° 0.017452 0.999848 0.017455 57.289962 2° 0.034899 0.999391 0.034921 28.636253 3° 0.052336 0.99863 0.052408 19.081137 4° 0.069756 0.997564 0.069927 14.300666 5° 0.087156 0.996195 0.087489 11.430052 6° 0.104528 0.994522 0.105104 9.514364 7° 0.121869 0.992546 0.122785 8.144346 8° 0.139173 0.990268 0.140541 7.11537 9° 0.156434 0.987688 0.158384 6.313752 10° 0.173648 0.984808 0.176327 5.671282 11° 0.190809 0.981627 0.19438 5.144554 12° 0.207912 0.978148 0.212557 4.70463 13° 0.224951 0.97437 0.230868 4.331476 14° 0.241922 0.970296 0.249328 4.010781 15° 0.258819 0.965926 0.267949 3.732051 16° 0.275637 0.961262 0.286745 3.487414 17° 0.292372 0.956305 0.305731 3.270853 18° 0.309017 0.951057 0.32492 3.077684 19° 0.325568 0.945519 0.344328 2.904211 20° 0.34202 0.939693 0.36397 2.747477 21° 0.358368 0.93358 0.383864 2.605089 22° 0.374607 0.927184 0.404026 2.475087 23° 0.390731 0.920505 0.424475 2.355852 24° 0.406737 0.913545 0.445229 2.246037 25° 0.422618 0.906308 0.466308 2.144507 26° 0.438371 0.898794 0.487733 2.050304 27° 0.45399 0.891007 0.509525 1.962611 28° 0.469472 0.882948 0.531709 1.880726 29° 0.48481 0.87462 0.554309 1.804048 30° 0.5 0.866025 0.57735 1.732051 31° 0.515038 0.857167 0.600861 1.664279 32° 0.529919 0.848048 0.624869 1.600335 33° 0.544639 0.838671 0.649408 1.539865 34° 0.559193 0.829038 0.674509 1.482561 35° 0.573576 0.819152 0.700208 1.428148 36° 0.587785 0.809017 0.726543 1.376382 37° 0.601815 0.798636 0.753554 1.327045 38° 0.615661 0.788011 0.781286 1.279942 39° 0.62932 0.777146 0.809784 1.234897 40° 0.642788 0.766044 0.8391 1.191754 41° 0.656059 0.75471 0.869287 1.150368 42° 0.669131 0.743145 0.900404 1.110613 43° 0.681998 0.731354 0.932515 1.072369 44° 0.694658 0.71934 0.965689 1.03553 45° 0.707107 0.707107 1 1 46° 0.71934 0.694658 1.03553 0.965689 47° 0.731354 0.681998 1.072369 0.932515 48° 0.743145 0.669131 1.110613 0.900404 49° 0.75471 0.656059 1.150368 0.869287 50° 0.766044 0.642788 1.191754 0.8391 51° 0.777146 0.62932 1.234897 0.809784 52° 0.788011 0.615661 1.279942 0.781286 53° 0.798636 0.601815 1.327045 0.753554 54° 0.809017 0.587785 1.376382 0.726543 55° 0.819152 0.573576 1.428148 0.700208 56° 0.829038 0.559193 1.482561 0.674509 57° 0.838671 0.544639 1.539865 0.649408 58° 0.848048 0.529919 1.600335 0.624869 59° 0.857167 0.515038 1.664279 0.600861 60° 0.866025 0.5 1.732051 0.57735 61° 0.87462 0.48481 1.804048 0.554309 62° 0.882948 0.469472 1.880726 0.531709 63° 0.891007 0.45399 1.962611 0.509525 64° 0.898794 0.438371 2.050304 0.487733 65° 0.906308 0.422618 2.144507 0.466308 66° 0.913545 0.406737 2.246037 0.445229 67° 0.920505 0.390731 2.355852 0.424475 68° 0.927184 0.374607 2.475087 0.404026 69° 0.93358 0.358368 2.605089 0.383864 70° 0.939693 0.34202 2.747477 0.36397 71° 0.945519 0.325568 2.904211 0.344328 72° 0.951057 0.309017 3.077684 0.32492 73° 0.956305 0.292372 3.270853 0.305731 74° 0.961262 0.275637 3.487414 0.286745 75° 0.965926 0.258819 3.732051 0.267949 76° 0.970296 0.241922 4.010781 0.249328 77° 0.97437 0.224951 4.331476 0.230868 78° 0.978148 0.207912 4.70463 0.212557 79° 0.981627 0.190809 5.144554 0.19438 80° 0.984808 0.173648 5.671282 0.176327 81° 0.987688 0.156434 6.313752 0.158384 82° 0.990268 0.139173 7.11537 0.140541 83° 0.992546 0.121869 8.144346 0.122785 84° 0.994522 0.104528 9.514364 0.105104 85° 0.996195 0.087156 11.430052 0.087489 86° 0.997564 0.069756 14.300666 0.069927 87° 0.99863 0.052336 19.081137 0.052408 88° 0.999391 0.034899 28.636253 0.034921 89° 0.999848 0.017452 57.289962 0.017455 90° 1 0 ∞ 0

## Table of trigonometrical functions for angles from 91° to 180°

 α sin α cos α tg α ctg α 91° 0.999848 -0.017452 -57.289962 -0.017455 92° 0.999391 -0.034899 -28.636253 -0.034921 93° 0.99863 -0.052336 -19.081137 -0.052408 94° 0.997564 -0.069756 -14.300666 -0.069927 95° 0.996195 -0.087156 -11.430052 -0.087489 96° 0.994522 -0.104528 -9.514364 -0.105104 97° 0.992546 -0.121869 -8.144346 -0.122785 98° 0.990268 -0.139173 -7.11537 -0.140541 99° 0.987688 -0.156434 -6.313752 -0.158384 100° 0.984808 -0.173648 -5.671282 -0.176327 101° 0.981627 -0.190809 -5.144554 -0.19438 102° 0.978148 -0.207912 -4.70463 -0.212557 103° 0.97437 -0.224951 -4.331476 -0.230868 104° 0.970296 -0.241922 -4.010781 -0.249328 105° 0.965926 -0.258819 -3.732051 -0.267949 106° 0.961262 -0.275637 -3.487414 -0.286745 107° 0.956305 -0.292372 -3.270853 -0.305731 108° 0.951057 -0.309017 -3.077684 -0.32492 109° 0.945519 -0.325568 -2.904211 -0.344328 110° 0.939693 -0.34202 -2.747477 -0.36397 111° 0.93358 -0.358368 -2.605089 -0.383864 112° 0.927184 -0.374607 -2.475087 -0.404026 113° 0.920505 -0.390731 -2.355852 -0.424475 114° 0.913545 -0.406737 -2.246037 -0.445229 115° 0.906308 -0.422618 -2.144507 -0.466308 116° 0.898794 -0.438371 -2.050304 -0.487733 117° 0.891007 -0.45399 -1.962611 -0.509525 118° 0.882948 -0.469472 -1.880726 -0.531709 119° 0.87462 -0.48481 -1.804048 -0.554309 120° 0.866025 -0.5 -1.732051 -0.57735 121° 0.857167 -0.515038 -1.664279 -0.600861 122° 0.848048 -0.529919 -1.600335 -0.624869 123° 0.838671 -0.544639 -1.539865 -0.649408 124° 0.829038 -0.559193 -1.482561 -0.674509 125° 0.819152 -0.573576 -1.428148 -0.700208 126° 0.809017 -0.587785 -1.376382 -0.726543 127° 0.798636 -0.601815 -1.327045 -0.753554 128° 0.788011 -0.615661 -1.279942 -0.781286 129° 0.777146 -0.62932 -1.234897 -0.809784 130° 0.766044 -0.642788 -1.191754 -0.8391 131° 0.75471 -0.656059 -1.150368 -0.869287 132° 0.743145 -0.669131 -1.110613 -0.900404 133° 0.731354 -0.681998 -1.072369 -0.932515 134° 0.71934 -0.694658 -1.03553 -0.965689 135° 0.707107 -0.707107 -1 -1 136° 0.694658 -0.71934 -0.965689 -1.03553 137° 0.681998 -0.731354 -0.932515 -1.072369 138° 0.669131 -0.743145 -0.900404 -1.110613 139° 0.656059 -0.75471 -0.869287 -1.150368 140° 0.642788 -0.766044 -0.8391 -1.191754 141° 0.62932 -0.777146 -0.809784 -1.234897 142° 0.615661 -0.788011 -0.781286 -1.279942 143° 0.601815 -0.798636 -0.753554 -1.327045 144° 0.587785 -0.809017 -0.726543 -1.376382 145° 0.573576 -0.819152 -0.700208 -1.428148 146° 0.559193 -0.829038 -0.674509 -1.482561 147° 0.544639 -0.838671 -0.649408 -1.539865 148° 0.529919 -0.848048 -0.624869 -1.600335 149° 0.515038 -0.857167 -0.600861 -1.664279 150° 0.5 -0.866025 -0.57735 -1.732051 151° 0.48481 -0.87462 -0.554309 -1.804048 152° 0.469472 -0.882948 -0.531709 -1.880726 153° 0.45399 -0.891007 -0.509525 -1.962611 154° 0.438371 -0.898794 -0.487733 -2.050304 155° 0.422618 -0.906308 -0.466308 -2.144507 156° 0.406737 -0.913545 -0.445229 -2.246037 157° 0.390731 -0.920505 -0.424475 -2.355852 158° 0.374607 -0.927184 -0.404026 -2.475087 159° 0.358368 -0.93358 -0.383864 -2.605089 160° 0.34202 -0.939693 -0.36397 -2.747477 161° 0.325568 -0.945519 -0.344328 -2.904211 162° 0.309017 -0.951057 -0.32492 -3.077684 163° 0.292372 -0.956305 -0.305731 -3.270853 164° 0.275637 -0.961262 -0.286745 -3.487414 165° 0.258819 -0.965926 -0.267949 -3.732051 166° 0.241922 -0.970296 -0.249328 -4.010781 167° 0.224951 -0.97437 -0.230868 -4.331476 168° 0.207912 -0.978148 -0.212557 -4.70463 169° 0.190809 -0.981627 -0.19438 -5.144554 170° 0.173648 -0.984808 -0.176327 -5.671282 171° 0.156434 -0.987688 -0.158384 -6.313752 172° 0.139173 -0.990268 -0.140541 -7.11537 173° 0.121869 -0.992546 -0.122785 -8.144346 174° 0.104528 -0.994522 -0.105104 -9.514364 175° 0.087156 -0.996195 -0.087489 -11.430052 176° 0.069756 -0.997564 -0.069927 -14.300666 177° 0.052336 -0.99863 -0.052408 -19.081137 178° 0.034899 -0.999391 -0.034921 -28.636253 179° 0.017452 -0.999848 -0.017455 -57.289962 180° 0 -1 0 ∞

## Table of trigonometrical functions for angles from 181° to 270°

 α sin α cos α tg α ctg α 181° -0.017452 -0.999848 0.017455 57.289962 182° -0.034899 -0.999391 0.034921 28.636253 183° -0.052336 -0.99863 0.052408 19.081137 184° -0.069756 -0.997564 0.069927 14.300666 185° -0.087156 -0.996195 0.087489 11.430052 186° -0.104528 -0.994522 0.105104 9.514364 187° -0.121869 -0.992546 0.122785 8.144346 188° -0.139173 -0.990268 0.140541 7.11537 189° -0.156434 -0.987688 0.158384 6.313752 190° -0.173648 -0.984808 0.176327 5.671282 191° -0.190809 -0.981627 0.19438 5.144554 192° -0.207912 -0.978148 0.212557 4.70463 193° -0.224951 -0.97437 0.230868 4.331476 194° -0.241922 -0.970296 0.249328 4.010781 195° -0.258819 -0.965926 0.267949 3.732051 196° -0.275637 -0.961262 0.286745 3.487414 197° -0.292372 -0.956305 0.305731 3.270853 198° -0.309017 -0.951057 0.32492 3.077684 199° -0.325568 -0.945519 0.344328 2.904211 200° -0.34202 -0.939693 0.36397 2.747477 201° -0.358368 -0.93358 0.383864 2.605089 202° -0.374607 -0.927184 0.404026 2.475087 203° -0.390731 -0.920505 0.424475 2.355852 204° -0.406737 -0.913545 0.445229 2.246037 205° -0.422618 -0.906308 0.466308 2.144507 206° -0.438371 -0.898794 0.487733 2.050304 207° -0.45399 -0.891007 0.509525 1.962611 208° -0.469472 -0.882948 0.531709 1.880726 209° -0.48481 -0.87462 0.554309 1.804048 210° -0.5 -0.866025 0.57735 1.732051 211° -0.515038 -0.857167 0.600861 1.664279 212° -0.529919 -0.848048 0.624869 1.600335 213° -0.544639 -0.838671 0.649408 1.539865 214° -0.559193 -0.829038 0.674509 1.482561 215° -0.573576 -0.819152 0.700208 1.428148 216° -0.587785 -0.809017 0.726543 1.376382 217° -0.601815 -0.798636 0.753554 1.327045 218° -0.615661 -0.788011 0.781286 1.279942 219° -0.62932 -0.777146 0.809784 1.234897 220° -0.642788 -0.766044 0.8391 1.191754 221° -0.656059 -0.75471 0.869287 1.150368 222° -0.669131 -0.743145 0.900404 1.110613 223° -0.681998 -0.731354 0.932515 1.072369 224° -0.694658 -0.71934 0.965689 1.03553 225° -0.707107 -0.707107 1 1 226° -0.71934 -0.694658 1.03553 0.965689 227° -0.731354 -0.681998 1.072369 0.932515 228° -0.743145 -0.669131 1.110613 0.900404 229° -0.75471 -0.656059 1.150368 0.869287 230° -0.766044 -0.642788 1.191754 0.8391 231° -0.777146 -0.62932 1.234897 0.809784 232° -0.788011 -0.615661 1.279942 0.781286 233° -0.798636 -0.601815 1.327045 0.753554 234° -0.809017 -0.587785 1.376382 0.726543 235° -0.819152 -0.573576 1.428148 0.700208 236° -0.829038 -0.559193 1.482561 0.674509 237° -0.838671 -0.544639 1.539865 0.649408 238° -0.848048 -0.529919 1.600335 0.624869 239° -0.857167 -0.515038 1.664279 0.600861 240° -0.866025 -0.5 1.732051 0.57735 241° -0.87462 -0.48481 1.804048 0.554309 242° -0.882948 -0.469472 1.880726 0.531709 243° -0.891007 -0.45399 1.962611 0.509525 244° -0.898794 -0.438371 2.050304 0.487733 245° -0.906308 -0.422618 2.144507 0.466308 246° -0.913545 -0.406737 2.246037 0.445229 247° -0.920505 -0.390731 2.355852 0.424475 248° -0.927184 -0.374607 2.475087 0.404026 249° -0.93358 -0.358368 2.605089 0.383864 250° -0.939693 -0.34202 2.747477 0.36397 251° -0.945519 -0.325568 2.904211 0.344328 252° -0.951057 -0.309017 3.077684 0.32492 253° -0.956305 -0.292372 3.270853 0.305731 254° -0.961262 -0.275637 3.487414 0.286745 255° -0.965926 -0.258819 3.732051 0.267949 256° -0.970296 -0.241922 4.010781 0.249328 257° -0.97437 -0.224951 4.331476 0.230868 258° -0.978148 -0.207912 4.70463 0.212557 259° -0.981627 -0.190809 5.144554 0.19438 260° -0.984808 -0.173648 5.671282 0.176327 261° -0.987688 -0.156434 6.313752 0.158384 262° -0.990268 -0.139173 7.11537 0.140541 263° -0.992546 -0.121869 8.144346 0.122785 264° -0.994522 -0.104528 9.514364 0.105104 265° -0.996195 -0.087156 11.430052 0.087489 266° -0.997564 -0.069756 14.300666 0.069927 267° -0.99863 -0.052336 19.081137 0.052408 268° -0.999391 -0.034899 28.636253 0.034921 269° -0.999848 -0.017452 57.289962 0.017455 270° -1 0 ∞ 0

## Table of trigonometrical functions for angles from 271° to 360°

 α sin α cos α tg α ctg α 271° -0.999848 0.017452 -57.289962 -0.017455 272° -0.999391 0.034899 -28.636253 -0.034921 273° -0.99863 0.052336 -19.081137 -0.052408 274° -0.997564 0.069756 -14.300666 -0.069927 275° -0.996195 0.087156 -11.430052 -0.087489 276° -0.994522 0.104528 -9.514364 -0.105104 277° -0.992546 0.121869 -8.144346 -0.122785 278° -0.990268 0.139173 -7.11537 -0.140541 279° -0.987688 0.156434 -6.313752 -0.158384 280° -0.984808 0.173648 -5.671282 -0.176327 281° -0.981627 0.190809 -5.144554 -0.19438 282° -0.978148 0.207912 -4.70463 -0.212557 283° -0.97437 0.224951 -4.331476 -0.230868 284° -0.970296 0.241922 -4.010781 -0.249328 285° -0.965926 0.258819 -3.732051 -0.267949 286° -0.961262 0.275637 -3.487414 -0.286745 287° -0.956305 0.292372 -3.270853 -0.305731 288° -0.951057 0.309017 -3.077684 -0.32492 289° -0.945519 0.325568 -2.904211 -0.344328 290° -0.939693 0.34202 -2.747477 -0.36397 291° -0.93358 0.358368 -2.605089 -0.383864 292° -0.927184 0.374607 -2.475087 -0.404026 293° -0.920505 0.390731 -2.355852 -0.424475 294° -0.913545 0.406737 -2.246037 -0.445229 295° -0.906308 0.422618 -2.144507 -0.466308 296° -0.898794 0.438371 -2.050304 -0.487733 297° -0.891007 0.45399 -1.962611 -0.509525 298° -0.882948 0.469472 -1.880726 -0.531709 299° -0.87462 0.48481 -1.804048 -0.554309 300° -0.866025 0.5 -1.732051 -0.57735 301° -0.857167 0.515038 -1.664279 -0.600861 302° -0.848048 0.529919 -1.600335 -0.624869 303° -0.838671 0.544639 -1.539865 -0.649408 304° -0.829038 0.559193 -1.482561 -0.674509 305° -0.819152 0.573576 -1.428148 -0.700208 306° -0.809017 0.587785 -1.376382 -0.726543 307° -0.798636 0.601815 -1.327045 -0.753554 308° -0.788011 0.615661 -1.279942 -0.781286 309° -0.777146 0.62932 -1.234897 -0.809784 310° -0.766044 0.642788 -1.191754 -0.8391 311° -0.75471 0.656059 -1.150368 -0.869287 312° -0.743145 0.669131 -1.110613 -0.900404 313° -0.731354 0.681998 -1.072369 -0.932515 314° -0.71934 0.694658 -1.03553 -0.965689 315° -0.707107 0.707107 -1 -1 316° -0.694658 0.71934 -0.965689 -1.03553 317° -0.681998 0.731354 -0.932515 -1.072369 318° -0.669131 0.743145 -0.900404 -1.110613 319° -0.656059 0.75471 -0.869287 -1.150368 320° -0.642788 0.766044 -0.8391 -1.191754 321° -0.62932 0.777146 -0.809784 -1.234897 322° -0.615661 0.788011 -0.781286 -1.279942 323° -0.601815 0.798636 -0.753554 -1.327045 324° -0.587785 0.809017 -0.726543 -1.376382 325° -0.573576 0.819152 -0.700208 -1.428148 326° -0.559193 0.829038 -0.674509 -1.482561 327° -0.544639 0.838671 -0.649408 -1.539865 328° -0.529919 0.848048 -0.624869 -1.600335 329° -0.515038 0.857167 -0.600861 -1.664279 330° -0.5 0.866025 -0.57735 -1.732051 331° -0.48481 0.87462 -0.554309 -1.804048 332° -0.469472 0.882948 -0.531709 -1.880726 333° -0.45399 0.891007 -0.509525 -1.962611 334° -0.438371 0.898794 -0.487733 -2.050304 335° -0.422618 0.906308 -0.466308 -2.144507 336° -0.406737 0.913545 -0.445229 -2.246037 337° -0.390731 0.920505 -0.424475 -2.355852 338° -0.374607 0.927184 -0.404026 -2.475087 339° -0.358368 0.93358 -0.383864 -2.605089 340° -0.34202 0.939693 -0.36397 -2.747477 341° -0.325568 0.945519 -0.344328 -2.904211 342° -0.309017 0.951057 -0.32492 -3.077684 343° -0.292372 0.956305 -0.305731 -3.270853 344° -0.275637 0.961262 -0.286745 -3.487414 345° -0.258819 0.965926 -0.267949 -3.732051 346° -0.241922 0.970296 -0.249328 -4.010781 347° -0.224951 0.97437 -0.230868 -4.331476 348° -0.207912 0.978148 -0.212557 -4.70463 349° -0.190809 0.981627 -0.19438 -5.144554 350° -0.173648 0.984808 -0.176327 -5.671282 351° -0.156434 0.987688 -0.158384 -6.313752 352° -0.139173 0.990268 -0.140541 -7.11537 353° -0.121869 0.992546 -0.122785 -8.144346 354° -0.104528 0.994522 -0.105104 -9.514364 355° -0.087156 0.996195 -0.087489 -11.430052 356° -0.069756 0.997564 -0.069927 -14.300666 357° -0.052336 0.99863 -0.052408 -19.081137 358° -0.034899 0.999391 -0.034921 -28.636253 359° -0.017452 0.999848 -0.017455 -57.289962 360° 0 1 0 ∞