Question

Help!
Use differentials (or equivalently, a linear approximation) to approximate sin(26°) as follows: Let f(x)=sin(x) and find the equation of the tangent line to f(x) at a "nice" point near 26° . Then use this to approximate sin(26°).
Approximation =

Answer 1

Use 30 degrees as the "nice" point but use radians or pi/6

Slope of tangent line is derivative of sin(x)

Linear Approximation:
f(x) = f(a) + f'(x)(x-a), where a is pi/6 in this case