pulsar wrote:
pigman1 wrote:
For this problem my method of estimating is accurate. This is because the sine and tangent of a very small angle is almost equal to the angle itself. This is true for 2 decimal places up to about 15 degrees and to three decimal places at 10 degrees or less. If you need exact results you need to use a calculator or published tables with values out to 8 decimal places or beyond. Just a question of how exact you want and need to be.
Measure it with a micrometer, mark it with a piece of chalk and cut it with an axe. Decide how accurate YOU need to be.
At least in my second post, I tried to indicate that I have no problem with your method. (I would have liked for your original post to be clear that you were giving an approximation.)
Perhaps you should change this post to indicate that it is the radian measures of small angles that are close approximations of the sine and tangent values of those angles. That is not true for degree measure.
In degree measure, 1 is more than 57 times larger than both sin(1º) and tan(1º). (Both values are approximately 0.01745.)
Tom
Yep, but the accuracy of the approximation still holds in this case.