This is a graph of the equation y = csc x = 1/sin x. There are discontinuities at the points x = 0, x=-π, and x = π for which y is undefined.
+-------------------------------------------------------------------------------------------------+
|                                                |      #                                  #      | 2.5000
|                                                |      #                                 #       | 2.3333
|                                                |       #                               ##       | 2.1666
|                                                |       #                               #        | 2.0000
|                                                |        #                             #         | 1.8333
|                                                |         #                           #          | 1.6666
|                                                |          #                         #           | 1.5000
|                                                |           ###                   ###            | 1.3333
|                                                |              ###             ###               | 1.1666
|                                                |                 #############                  | 1.0000
|                                                |                                                | .83333
|                                                |                                                | .66666
|                                                |                                                | .50000
|                                                |                                                | .33333
|                                                |                                                | .16666
|------------------------------------------------|------------------------------------------------| .00000
|                                                |                                                | -.1666
|                                                |                                                | -.3333
|                                                |                                                | -.5000
|                                                |                                                | -.6666
|                                                |                                                | -.8333
|                  #############                 |                                                | -1.000
|               ###             ###              |                                                | -1.166
|            ###                   ###           |                                                | -1.333
|           #                         #          |                                                | -1.500
|          #                           #         |                                                | -1.666
|         #                             #        |                                                | -1.833
|        #                               #       |                                                | -2.000
|       ##                                #      |                                                | -2.166
|       #                                 #      |                                                | -2.333
|       #                                  #     |                                                | -2.500
+-------------------------------------------------------------------------------------------------+
 A                       A                       A                       A                       A
-π                     -π/2                      0                      π/2                      π

Co*se"cant (k?-s?"k?nt), n. [For co. secans, an abbrev. of L. complementi secans.] Trig.

The secant of the complement of an arc or angle. See Illust. of Functions.

 

© Webster 1913.

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