Which of the following is the best linear approximation for f(x)equals sin(x) near x equals =π seconds?

Question

y=-x+pie-1
y=-1
y=-x-pie
y=-x+pie

Answer 1

we all know that near x=0, sin(x) = x (or nearly)

Since sin(pi-x) = sin(x),
sin(pi-x) = pi-x