Asked by Isabella
Use a Linear Approximation to estimate sin(64∘)−sin(60∘)≈
Answers
Answered by
Steve
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
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
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