For an angle of one degree, to how many significant figures do sin θ and θ (in radians) agree?
A) 3
B) 4
C) 5
D) 6
E) 7

Question

Quizplus · Accepted Answer

One degree is approximately 0.0174533 radians. To four significant figures, this is 0.01745. sin θ can be approximated as θ for small angles, so sin θ to four significant figures is also 0.01745. Therefore, sin θ and θ agree to four significant figures.

For an Angle of One Degree, to How Many Significant