It is a common approximation in physics to say that sin x ≈ x near 0. Use a tangent line
approximation at 0 to show that this is a good approximation. How much error is there in this
approximation at x = π/6?

Question

It is a common approximation in physics to say that sin x ≈ x near 0. Use a tangent line
approximation at 0 to show that this is a good approximation. How much error is there in this
approximation at x = π/6?

anonymous · Answer

the tangent line at x= 0 goes through the origin and has a slope of  (sin x) '

anonymous · Answer

what's the derivative of sinx ?  and what's the value of the derivative of sinx at x=0 ?