### Home > CALC > Chapter 7 > Lesson 7.3.3 > Problem 7-134

7-134.

Find the equation of a line tangent to the graph of

*f*(*x*) = arcsin*x*at*x =*. Homework Help ✎ Use the tangent line to find an approximate value of

*f*(0.52).Is your approximation an over or under estimate? Use the second derivative to justify your answer.

Because *y* = arcsin(0.52) is hard to evaluate, the tangent line at *x* = 0.52 will give a decent approximation of *f*(0.52).

and that will indicate if the tangent line is above or below the graph.