For what value is the error of approximating sin ( θ ) by θ (in radians)...
For what value is the error of approximating sin ( θ ) by θ (in radians) closest to 5%?
3.0 degrees
5.0 degrees
34 degrees
70 degrees
Homework Answers
Solution :
As the relative percentGe error =
( observed value- true value) x100 / true value
Hence . 34° into radians = 0.5931 radians
Sin 34° = 0.5592
So relative error = (0.5931-0.5592 )x 100/sin34° = 5.4% approx.
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