`y = sin(sin(x)), (pi, 0)` Find an equation of the tangent line to the curve at the given point.

Expert Answers
growley52 eNotes educator| Certified Educator

`y = pi - x` is the exact answer.

At `x = pi` ``

`y = sin(sin(pi)) = sin(0) = 0`

`y' = 1/2 (cos(x - sin(x)) + cos(x + sin(x))) = 1/2(cos(pi) + cos (pi))`

=-1.  So y = -x + pi, using the slope intercept form.