Question

Use a Linear Approximation to estimate sin(64∘)−sin(60∘)≈

Answer 1

if y=sin x
y' = cos x

To approximate sin(x) at x=60°, use the tangent line at (π/3,√3/2) where the slope is 1/2

∆y = 1/2 ∆x = (1/2)(1.117-1.047) = 0.035