#
Question

**Question**

The *small angle approximation* is often made to simplify derivations and calculations. For the following angles ?, compare the true value of the sine of the angle to the to the *small angle approximation* (using only the first term in the series expansion of the sine) by determining the *fractional error* (let the fractional error be positive). NOTE: If you explicitly use pi; to convert from degrees to radians, use an accurate value for pi.

Note: we are asking for the fractional error in the sine value, not the percentage error.

b) ? = 5.63:

Fractional Error =

c) ? = 15.49:

Fractional Error =

d) ? = 43.40:

Fractional Error =