Question

Find an equation of the tangent line to the curve at the point (4π, 0).

y = sin(sin(x))

Answer 1

y = m x + b

( sin (sin (x) ) ' = cos (sin x) * cos (x)
cos (sin 4 pi) * cos 4pi = cos ( 0 ) * 1 = 1*1 = 1

y = 1 * x + b
y = x + b
0 = 4 pi + b
b = - 4 pi
y = x - 4pi