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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 =

 

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