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Math Help - exact values.. sin, cos, tan, cot, csc, sec...

  1. #1
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    exact values.. sin, cos, tan, cot, csc, sec...

    Is there anywhere on the web I can find a chart of the exact values (in fractions, square roots) for sin, cos, tan, sec, csc, cot values...?

    all in degrees...

    cot (-150)

    sec (-330)

    csc (-210)

    sec (-450)

    csc (-675)

    sec (315)

    sin (-120)

    cos (-90)

    tan (-135)

    cot 930

    sin 630

    My teacher gave us the unit circle chart and a chart of the basic values for sin, cos, tan, csc, sec, cot for 0, 30, 45, 60, and 90 degrees (for example, cos of 30 degrees = sq rt (3)/2 ). I just don't know what to do with them to solve for the other problems.
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  2. #2
    Moo
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    Hello,

    You should recognize some things :

    Every quoted function is 360-periodic.

    f(-150)=f(-150+360)=f(210)=f(180+30)

    f(-330)=f(-330+360)=f(30)

    f(-210)=f(-210+360)=f(150)=f(180-30)

    f(-450)=f(-450+360)=f(-90)


    etc...

    Use the definitions of the functions or the chart to find the values. Always try to get to known values, only by additions and substractions.
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