Question

Table of Trigonometric RatiosHere is a table of all the Trigonometric Ratios from 1 to89 degrees. Why are 0 and 90 degrees not there?5Share with Class************************** ***** **********

Answer 1

First, notice that for the angle of 0 degrees,we have the following:

$\begin{gathered} \sin (0)=0 \\ \cos (0)=1 \\ \Rightarrow\tan (0)=\frac{\sin (0)}{\cos (0)}=\frac{0}{1}=0 \end{gathered}$

as we can see, when the angle is 0 degrees, we have all trivial results.

Next, for the angle of 90 degree,we have the following:

$\begin{gathered} \sin (90)=1 \\ \cos (90)=0 \\ \Rightarrow\tan (90)=\frac{\sin(90)}{\cos(90)}=\frac{1}{0} \end{gathered}$

in this case, we get an undefined result.

Therefore, 0 and 90 are not included in the table because of its trivial results (1, 0 and undefined)