Talk:Trigonometry/Radian and degree measures

It is obvious that the picture of an angle of 1 radian doesn't really show a 1 radian angle.130.89.219.179 15:46, 5 October 2005 (UTC)

I changed the formulas for converting, because I didn't understand them. Let's look at an example:

$\theta=60^\circ$

Now converting, using the original formula:

$\theta^\circ \frac {\pi}{180}=(60^\circ)^\circ \frac {\pi}{180} = (\frac {\pi}{30})^{\circ\circ}$

Let's try it another way:

$\alpha =\theta^\circ = 60^\circ$

Converting:

$\theta^\circ \frac {\pi}{180}=60^\circ \frac {\pi}{180} = (\frac {\pi}{30})^\circ$

The answer is in degrees!?

Now suppose the answer should be the number of radians. What is the meaning of the degree symbol in the formula?

130.89.219.179 16:25, 5 October 2005 (UTC)

When you changed 60 degrees to radians, your formula was wrong. The part:

Theta*pi/180

is wrong. It is supposed to be

Theta*pi/180°, so that the degree symbol is eliminated.

Correcting your equation,

Theta*pi/180°=60° *pi/180°=pi/30