June K.

asked • 10/26/23

Using differentials

Use differentials ( or equivalently , a linear approximation ) to approximate sin ( 55 degree ) as follows : Let f(x)= sin (x) and find the equation of the tangent line to f(x) at a " nice" point near 55 degrees. Then use this to approximate sin ( 55 degree )

1 Expert Answer

By:

Ajay F. answered • 10/26/23

Tutor
5 (27)

College-Level Math Instructor Specializing in Calculus & Probability

Doug C.

And here is a Desmos graph to help visualize why using the tangent line at pi/3 gives a good approximation for sin(55pi/180). Notice the very small difference between the y-value of the tangent line and the y-value of the sin(x) at 55pi/180 (radian equivalent to 55 degrees) desmos.com/calculator/0ggtbq96kt
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10/26/23

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