(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

62. In physics, it is important to use mathematical approximations.

(a) Demonstrate that for small angles (<20°)

tan a ~ sin a ~ a = (Pia'/180 degrees)

where a is in radians and a' is in degrees. (b) Use a calculator

to find the largest angle for which tan a may be

approximated by a with an error less than 10.0%.

2. Relevant equations

3. The attempt at a solution

I'm unsure how I would go about this other than plugging in numbers less that 20 degrees, but I wouldn't know what is within ten percent error.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Mathematical approximations in Physics for angles <20 degrees

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**