Simple way to produce Trigonometric Table

I have been asked by a reader of this blog if I have any tricks to help remember values in the trigonometric table. Well, Mohamed, here is a way to produce a version of the table. You can easily add additional values to the simple table shown below by recalling the definitions of other functions.

Table of trig values

 

The steps to produce this are as follows:

  1. Draw a blank template for your table with six columns.
  2. Fill the cells of the first  row  with “angle” and the numbers 0,1,2,3, and 4 respectively.
  3. Divide across by 4.
  4. Get the square roots.
  5. Write each entry in simplest form.

You now have the sine values for angles of 0, 30, 45, 60, and 90 degrees.

Reverse the order of the results to get the corresponding cosine values.

Get the tangent values using tan = sin/cos.

If you want to extent the table to other values you can do so using:

cotan = 1/tan  = cos/sin          sec = 1/cos          cosec = 1/sin

 

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